Topics in Transcendental Algebraic Geometry
1st Edition
Published on 20. June 2016
328 pages
978-1-4008-8165-9 (ISBN)
Description
A classic treatment of transcendental algebraic geometry from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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Phillip A. Griffiths
Topics in Transcendental Algebraic Geometry
Book
06/1984
Princeton University Press
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Phillip A. Griffiths
Topics in Transcendental Algebraic Geometry
Book
06/1984
Princeton University Press
€71.80
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Edited by Phillip A. Griffiths
Content
Frontmatter, pg. i
Table of Contents, pg. v
INTRODUCTION, pg. vii
Chapter I. VARIATION OF HODGE STRUCTURE, pg. 1
Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES, pg. 29
Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE, pg. 51
Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE, pg. 63
Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION, pg. 75
Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS, pg. 101
Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK), pg. 121
Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS, pg. 143
Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS, pg. 157
Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI, pg. 183
Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS, pg. 209
Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM, pg. 227
Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY, pg. 239
Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS, pg. 259
Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES, pg. 269
Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS, pg. 289
Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS, pg. 305
Backmatter, pg. 317
Table of Contents, pg. v
INTRODUCTION, pg. vii
Chapter I. VARIATION OF HODGE STRUCTURE, pg. 1
Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES, pg. 29
Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE, pg. 51
Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE, pg. 63
Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION, pg. 75
Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS, pg. 101
Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK), pg. 121
Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS, pg. 143
Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS, pg. 157
Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI, pg. 183
Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS, pg. 209
Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM, pg. 227
Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY, pg. 239
Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS, pg. 259
Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES, pg. 269
Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS, pg. 289
Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS, pg. 305
Backmatter, pg. 317
