This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.
This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
This book describes contemporary efforts to develop nano-molecular systems for future molecular electronics in which single molecules act as the basic elements in electrical circuits. While describing frontier research, it also gives a comprehensive introduction and discusses the related work being pursued worldwide. The book is composed of three parts. The first part describes the synthesis of novel molecules for molecular nano-systems. The second part deals mainly with nano-molecular systems on solid surfaces and the evaluation of the system with SPM. The third part reviews the theory required as a background for molecular electronics.
The present volume is the first of a series of volumes dealing with organorhenium com pounds. lt covers the Literature completely up to the end of 1987. An empirical formula index and a Ligand formula index provide ready access to the compounds covered. ln accordance with the previous arrangement adopted for organemetallic compounds (cf. volumes covering organocobalt, organonickel, or organotitanium compounds), this volume starts with the mononuclear organorhenium compounds. lt contains compounds in which the organic Ligand is bonded to the Re atom by one C atom CL Ligand) and up to four CO groups. Other mononuclear compounds will be covered in the next volume of this series. 2 1 A formula like (C0) Re( D)s L belongs to a type of mononuclear rhenium compounds 2 containing three monodentate ligands eo two-electron donor) such as P(CH )s and one Ligand 3 bonded by one C atom CL) such as C H (trans-pentadienyl) or C(O)R with R = CH . 5 7 3 Much of the data, particularly in tables, is given in abbreviated form without dimensions; for explanation see p. X. Additional remarks, if necessary, are given in the headings of tl'le tables. Frankfurt am Main Adolf Slawisch November 1988 X Remarks on Abbreviation& and Dimensions Many compounds in this volume are presented in tables in which numerous abbreviations are used, the dimensions are omitted for the sake of conciseness. This necessitates the following clarification.
Titanium has been used to perform many kinds of reactions in organic and inorganic chemistry. The present book is concerned primarily with a new development in titanium chemistry which is useful in organic synthesis. In 1979/80 it was discovered that the titanation of classical carbanions using C1TiX leads to species with reduced basicity and reactivity. This increases 3 chemo-, regio-and stereo selectivity in reactions with organic compounds such as aldehydes, ketones and alkyl halides. Many new examples have been reported in recent times. Since the nature of the ligand X at titanium can be widely varied, the electronic and steric nature of the reagents is easily controlled. This helps in predicting the stereochemical outcome of many of the C-C bond forming reactions, but the trial and error method is still necessary in other cases. One of the ultimate objectives of chemistry is to understand correlations between structure and reactivity. Although this goal has not been reached in the area of organotitanium chemistry, appreciable progress has been made. A great deal of physical and computational data of organotitanium compounds described in the current and older literature (e. g. , Ziegler-Natta type catalysts) has been reported by polymer, inorganic and theoretical chemists. It is summarized in Chapter 2 of this book, because some aspects are useful in understanding reactivity and selectivity of organo titanium compounds in organic synthesis as described in the chapters which follow.
For more than a quarter century, Cotton and Wilkinson's Advanced Inorganic Chemistry has been the source that students and professional chemists have turned to for the background needed to understand current research literature in inorganic chemistry and aspects of organometallic chemistry. Like its predecessors, this updated Sixth Edition is organized around the periodic table of elements and provides a systematic treatment of the chemistry of all chemical elements and their compounds. It incorporates important recent developments with an emphasis on advances in the interpretation of structure, bonding, and reactivity.“/p> From the reviews of the Fifth Edition: "The first place to go when seeking general information about the chemistry of a particular element, especially when up-to-date, authoritative information is desired." —Journal of the American Chemical Society "Every student with a serious interest in inorganic chemistry should have [this book]." —Journal of Chemical Education "A mine of information . . . an invaluable guide." —Nature "The standard by which all other inorganic chemistry books are judged." —Nouveau Journal de Chimie "A masterly overview of the chemistry of the elements." —The Times of London Higher Education Supplement "A bonanza of information on important results and developments which could otherwise easily be overlooked in the general deluge of publications." —Angewandte Chemie
This unusual collection of 49 essays gives an overview of the trends and accomplishments of synthetic organic chemistry in recent years. Unique in its approach, it deals with almost every aspect of modern synthesis. The first part of the book describes methods and reagents, with particular emphasis on rapidly developing organometallic and biooriented procedures. In the second part, these tools are applied to the syntheses of interesting target compounds and natural compounds with remarkable physiological properties. Mechanistic discussions and retrosynthetic analyses are included. More than 1000 up-to-date references help the reader to pursue the topics highlighted here. This book gives both the active researcher and the advanced student insight into the competitive atmosphere, creativity, and resourcefulness so characteristic of organic synthesis today.
Authored by one of the world's leading organic chemists, this authoritative reference provides an overview of basic strategies in directed evolution and introduces common gene mutagenesis, screening and selection methods. Throughout the text, emphasis is placed on methodology development to maximize efficiency, reliability and speed of the experiments and to provide guidelines for efficient protein engineering. Professor Reetz highlights the application of directed evolution experiments to address limitations in the field of enzyme selectivity, substrate scope, activity and robustness. He critically reviews recent developments and case studies, takes a look at future applications in the field of organic synthesis, and concludes with lessons learned from previous experiments.
The priority program 'The educational quality of schools' has been established seven years ago by the German Research Foundation (DFG). The projects in this program investigated conditions inside and outside of school and their impact on the development of mathematical, scientific, and cross-curricular competencies. In this book major findings of the program are presented. The projects not only give an overview of their research questioning methods and findings, but also of approaches and materials that have been developed to support learning and teaching in mathematics and science class rooms. The studies reported here identify factors for weaknesses in the educational outcomes that became apparent in the international comparisons like TIMSS and PISA. The projects, however, provide empirically substantiated units on approaches that can help to improve the educational quality of schools. [Publisher, ed].
The Wortatlas der arabischen Dialekte / Word Atlas of Arabic Dialects (WAD) intends to provide an unprecedented survey of the lexical richness and diversity of the Arabic dialects as spoken from Uzbekistan to Mauretania and Nigeria, from Malta to Sudan, and including the Ki-Nubi Creole as spoken in Uganda and Kenya. The atlas is indispensable for everyone interested in the modern spoken Arabic language, as well as for dialectologists and for semanticists.
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