Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106

by Phillip A. Griffiths

Overview

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.

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Product Details

ISBN-13:	9780691083391
Publisher:	Princeton University Press
Publication date:	06/21/1984
Series:	Annals of Mathematics Studies , #106
Pages:	328
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• 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