Phillip A. Griffiths's Books

Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

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Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

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Page Count

816

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820877

ISBN 13

9780821820872

Selected Works of Philip A. Griffiths with Commentary

2003-2014

By: Phillip Griffiths

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Selected Works of Philip A. Griffiths with Commentary

2003-2014

By: Phillip Griffiths

In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary), Parts 1-4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta. The papers are organized along the three main topics: Differential Geometry and Hodge Theory (Part 5) and Algebraic Cycles (Part 6). In addition to his papers, Griffiths has been an author of a number of research monographs. To give the reader an overview of what these monographs contain, introductions to some of these are also included.

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Page Count

296

Published Date

ISBN 10

1470436574

ISBN 13

9781470436575

Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

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Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

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596

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820885

ISBN 13

9780821820889

Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths,Maurizio Cornalba

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Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths,Maurizio Cornalba

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Page Count

694

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820869

ISBN 13

9780821820865

The Selected Works of Phillip A. Griffiths with Commentary: Differential systems

By: Phillip Griffiths,Maurizio Cornalba

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The Selected Works of Phillip A. Griffiths with Commentary: Differential systems

By: Phillip Griffiths,Maurizio Cornalba

Covers analytic geometry, algebraic geometry, variations of Hodge Structures, and differential systems. This book also provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

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Page Count

598

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820893

ISBN 13

9780821820896

Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

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Selected Works of Phillip A. Griffiths with Commentary

By: Phillip Griffiths

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Page Count

596

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821820885

ISBN 13

9780821820889

Selected Works of Philip A. Griffiths with Commentary

2003-2014

By: Phillip Griffiths

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Selected Works of Philip A. Griffiths with Commentary

2003-2014

By: Phillip Griffiths

Volume 1. Works of Philip A. Griffiths with commentary: Differential geometry and Hodge Theory (1983-2014) -- volume 2. Selected Works of Philip A. Griffiths with commentary: Algebraic cycles (2003-2007)

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Page Count

799

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470436558

ISBN 13

9781470436551

Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13

Notes From a Course of Phillip Griffiths

By: Phillip A. Griffiths,John Frank Adams

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Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13

Notes From a Course of Phillip Griffiths

By: Phillip A. Griffiths,John Frank Adams

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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228

Publisher

Princeton University Press

Published Date

ISBN 10

1400869269

ISBN 13

9781400869268

Introduction to Algebraic Curves

By: Phillip A. Griffiths

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Introduction to Algebraic Curves

By: Phillip A. Griffiths

This book differs from a number of recent books on this subject in that it combines analytic and geometric methods at the outset, so that the reader can grasp the basic results of the subject. Although such modern techniques of sheaf theory, cohomology, and commutative algebra are not covered here, the book provides a solid foundation to proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing numerous exercises this book would make an excellent introductory text.

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Page Count

225

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821845373

ISBN 13

9780821845370

Hodge Theory (MN-49)

By: Eduardo Cattani,Fouad El Zein,Phillip A. Griffiths,Lê Dũng Tráng

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Hodge Theory (MN-49)

By: Eduardo Cattani,Fouad El Zein,Phillip A. Griffiths,Lê Dũng Tráng

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures. The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.

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Page Count

608

Publisher

Princeton University Press

Published Date

ISBN 10

1400851475

ISBN 13

9781400851478

Book's by Phillip A. Griffiths

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Philip A. Griffiths with Commentary

Selected Works of Philip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

The Selected Works of Phillip A. Griffiths with Commentary: Differential systems

The Selected Works of Phillip A. Griffiths with Commentary: Differential systems

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Phillip A. Griffiths with Commentary

Selected Works of Philip A. Griffiths with Commentary

Selected Works of Philip A. Griffiths with Commentary

Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13

Topics in Algebraic and Analytic Geometry. (MN-13), Volume 13

Introduction to Algebraic Curves

Introduction to Algebraic Curves

Hodge Theory (MN-49)

Hodge Theory (MN-49)

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