These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
Volume IV of The Early Journals and Letters of Fanny Burney, covering the years 1780-1781, will be of particular interest to students of Burney as it marks the young author's introduction into the world following the astonishing success of her novel Evelina (1778) and includes her visits to Streatham and her encounters with Hester and Henry Thrale and Dr Johnson. It was an exciting period in her life, which she managed to enjoy despite struggling to repeat her first success while avoiding the often unwelcome attention it brought. But it was also a difficult period in her family life as she dealt with jealous interference by her stepmother, the courtship of her sister Susan by a man she considered untrustworthy, and the misbehaviour of her brothers. Burney's enthusiasm makes the most of her experiences and she describes characters and scenes with all the genius displayed in her novels. Her descriptions contain the four great attributes that distinguish her novels: brilliant handling of detail, total and full recall of conversations characteristic of the speaker, sensibility and empathy for others, and great relish for the ridiculous wherever it occurred.
This book challenges standard accounts of early Christian exegesis of the Bible. Professor Young sets the interpretation of the Bible in the context of the Graeco-Roman world - the dissemination of books and learning, the way texts were received and read, the function of literature in shaping not only a culture but a moral universe. For the earliest Christians, the adoption of the Jewish scriptures constituted a supersessionary claim in relation to Hellenism as well as Judaism. Yet the debt owed to the practice of exegesis in the grammatical and rhetorical schools is of overriding significance. Methods were philological and deductive, and the usual analysis according to 'literal', 'typological' and 'allegorical' is inadequate to describe questions of reference and issues of religious language. The biblical texts shaped a 'totalizing discourse' which by the fifth century was giving identity, morality and meaning to a new Christian culture.
Remembering the Irish Revolution chronicles the ways in which the Irish revolution was remembered in the first two decades of Irish independence. While tales of heroism and martyrdom dominated popular accounts of the revolution, a handful of nationalists reflected on the period in more ambivalent terms. For them, the freedoms won in revolution came with great costs: the grievous loss of civilian lives, the brutalisation of Irish society, and the loss of hope for a united and prosperous independent nation. To many nationalists, their views on the revolution were traitorous. For others, they were the courageous expression of some uncomfortable truths. This volume explores these struggles over revolutionary memory through the lives of four significant, but under-researched nationalist intellectuals: Eimar O'Duffy, P. S. O'Hegarty, George Russell, and Desmond Ryan. It provides a lively account of their controversial critiques of the Irish revolution, and an intimate portrait of the friends, enemies, institutions and influences that shaped them. Based on wide-ranging archival research, Remembering the Irish Revolution puts the history of Irish revolutionary memory in a transnational context. It shows the ways in which international debates about war, human progress, and the fragility of Western civilisation were crucial in shaping the understandings of the revolution in Ireland. It provides a fresh context for analysis the major writers of the period, such as Sean O'Casey, W. B. Yeats, and Sean O'Faolain, as well as a new outlook on the genesis of the revisionist/nationalist schism that continues to resonate in Irish society today.
The fascinating life of Frances Jennings, elder sister of Sarah, Duchess of Marlborough, charting her marriages and changes of fortune, her exile and return, her ambition, political manoeuvring and sincere piety.Frances Jennings, elder sister of Sarah, duchess of Marlborough, had an interesting and eventful life, most notably as the influential wife of Richard Talbot, earl of Tyrconnell, Catholic viceroy of Ireland under James II. Born circa 1649 into a Hertfordshire gentry family, she was a noted beauty at the Restoration court. There, she met and married George Hamilton, a Catholic officer who, after 1667, served in Louis XIV's army. In Paris, Frances raised three daughters, converted to Catholicism, and became an active member of the English Catholic émigré community. Following Hamilton's death, she remarried to Richard Talbot. As vicereine of Ireland, Frances helped re-establish Catholic hegemony, assisting in the foundation of convents and re-consecration of Christ Church cathedral. During the Williamite-Jacobite War in Ireland (1689-91), Frances fled to James II's exiled court in France. In 1691, she received word that her husband, now Jacobite duke of Tyrconnell, had died. Attainted for high treason, she used the Marlboroughs' influence to recover her Irish estates. In 1708, she returned to Dublin, where she died in 1731. Highlighting Frances's political manoeuvrings, religious identity and deep family attachments, this book portrays a complex and contested figure, a woman who acted on multiple stages, in diverse roles, challenging expectations of rank, gender, and 'nationality' in unexpected ways.te-Jacobite War in Ireland (1689-91), Frances fled to James II's exiled court in France. In 1691, she received word that her husband, now Jacobite duke of Tyrconnell, had died. Attainted for high treason, she used the Marlboroughs' influence to recover her Irish estates. In 1708, she returned to Dublin, where she died in 1731. Highlighting Frances's political manoeuvrings, religious identity and deep family attachments, this book portrays a complex and contested figure, a woman who acted on multiple stages, in diverse roles, challenging expectations of rank, gender, and 'nationality' in unexpected ways.te-Jacobite War in Ireland (1689-91), Frances fled to James II's exiled court in France. In 1691, she received word that her husband, now Jacobite duke of Tyrconnell, had died. Attainted for high treason, she used the Marlboroughs' influence to recover her Irish estates. In 1708, she returned to Dublin, where she died in 1731. Highlighting Frances's political manoeuvrings, religious identity and deep family attachments, this book portrays a complex and contested figure, a woman who acted on multiple stages, in diverse roles, challenging expectations of rank, gender, and 'nationality' in unexpected ways.te-Jacobite War in Ireland (1689-91), Frances fled to James II's exiled court in France. In 1691, she received word that her husband, now Jacobite duke of Tyrconnell, had died. Attainted for high treason, she used the Marlboroughs' influence to recover her Irish estates. In 1708, she returned to Dublin, where she died in 1731. Highlighting Frances's political manoeuvrings, religious identity and deep family attachments, this book portrays a complex and contested figure, a woman who acted on multiple stages, in diverse roles, challenging expectations of rank, gender, and 'nationality' in unexpected ways.achments, this book portrays a complex and contested figure, a woman who acted on multiple stages, in diverse roles, challenging expectations of rank, gender, and 'nationality' in unexpected ways.
Gynecologic Health Care: With an Introduction to Prenatal and Postpartum Care continues to set the standard for evidence-based gynecologic health care and well-being in an extensively updated fourth edition. As in prior editions, the text presents gynecologic health care using a holistic and person-centered approach. Encompassing both health promotion and management of gynecologic conditions, it provides clinicians and students with a strong foundation in gynecologic care and the knowledge necessary to apply it in clinical practice. With an emphasis on the importance of respecting the normalcy of physiology, it is an essential reference for all midwives, nurse practitioners, physician assistants, and other clinicians who provide gynecologic health care.
Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory. Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs. It treats both the basics of the subject and a wide range of applications, providing lucid overviews of highly technical areas that make the subject accessible and prepare readers for more advanced work in the area. This second edition contains entirely new chapters introducing the theory of Witt spaces, perverse sheaves, and the combinatorial intersection cohomology of fans. Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra. With its clear explanations of the main ideas, this book builds the confidence needed to tackle more specialist, technical texts and provides a framework within which to place them.
Geometric Invariant Theory" by Mumford/Fogarty (the firstedition was published in 1965, a second, enlarged editonappeared in 1982) is the standard reference on applicationsof invariant theory to the construction of moduli spaces.This third, revised edition has been long awaited for by themathematical community. It is now appearing in a completelyupdated and enlarged version with an additional chapter onthe moment map by Prof. Frances Kirwan (Oxford) and a fullyupdated bibliography of work in this area.The book deals firstly with actions of algebraic groups onalgebraic varieties, separating orbits by invariants andconstructionquotient spaces; and secondly with applicationsof this theory to the construction of moduli spaces.It is a systematic exposition of the geometric aspects ofthe classical theory of polynomial invariants.
During the Cold War, freedom of expression was vaunted as liberal democracy’s most cherished possession—but such freedom was put in service of a hidden agenda. In The Cultural Cold War, Frances Stonor Saunders reveals the extraordinary efforts of a secret campaign in which some of the most vocal exponents of intellectual freedom in the West were working for or subsidized by the CIA—whether they knew it or not. Called "the most comprehensive account yet of the [CIA’s] activities between 1947 and 1967" by the New York Times, the book presents shocking evidence of the CIA’s undercover program of cultural interventions in Western Europe and at home, drawing together declassified documents and exclusive interviews to expose the CIA’s astonishing campaign to deploy the likes of Hannah Arendt, Isaiah Berlin, Leonard Bernstein, Robert Lowell, George Orwell, and Jackson Pollock as weapons in the Cold War. Translated into ten languages, this classic work—now with a new preface by the author—is "a real contribution to popular understanding of the postwar period" (The Wall Street Journal), and its story of covert cultural efforts to win hearts and minds continues to be relevant today.
Geometric Invariant Theory" by Mumford/Fogarty (the firstedition was published in 1965, a second, enlarged editonappeared in 1982) is the standard reference on applicationsof invariant theory to the construction of moduli spaces.This third, revised edition has been long awaited for by themathematical community. It is now appearing in a completelyupdated and enlarged version with an additional chapter onthe moment map by Prof. Frances Kirwan (Oxford) and a fullyupdated bibliography of work in this area.The book deals firstly with actions of algebraic groups onalgebraic varieties, separating orbits by invariants andconstructionquotient spaces; and secondly with applicationsof this theory to the construction of moduli spaces.It is a systematic exposition of the geometric aspects ofthe classical theory of polynomial invariants.
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.
Ecological and environmental research has increased in scope and complexity in the last few decades, from simple systems with a few managed variables to complex ecosystems with many uncontrolled variables. These issues encompass problems that are inadequately addressed using the types of carefully controlled experiments that dominate past ecological research. Contemporary challenges facing ecologists include whole ecosystem responses to planned restoration activities and ecosystem modifications, as well as unplanned catastrophic events such as biological invasions, natural disasters, and global climate changes. Major perturbations implicated in large-scale ecological alterations share important characteristics that challenge traditional experimental design and statistical analyses. These include: * Lack of randomization, replication and independence * Multiple scales of spatial and temporal variability * Complex interactions and system feedbacks. In real world ecology, standard replicated designs are often neither practical nor feasible for large-scale experiments, yet ecologists continue to cling to these same standard designs and related statistical analyses. Case studies that fully elucidate the currently available techniques for conducting large-scale unreplicated analyses are lacking. Real World Ecology: Large-Scale and Long-Term Case Studies and Methods is the first to focus on case studies to demonstrate how ecologists can investigate complex contemporary problems using new and powerful experimental approaches. This collection of case studies showcases innovative experimental designs, analytical options, and interpretation possibilities currently available to theoretical and applied ecologists, practitioners, and biostatisticians. By illustrating how scientists have answered pressing questions about ecosystem restoration, impact and recovery, global warming, conservation, modeling, and biological invasions, this book will broaden the acceptance and application of modern approaches by scientists and encourage further methodological development.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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