Topics in Transcendental Algebraic Geometry

*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