Topics in Transcendental Algebraic Geometry
eBook - PDF

Topics in Transcendental Algebraic Geometry

  1. 328 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Topics in Transcendental Algebraic Geometry

About this book

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.

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Yes, you can access Topics in Transcendental Algebraic Geometry by Phillip A. Griffiths, Phillip Griffiths in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Table of Contents
  5. INTRODUCTION
  6. I VARIATION OF HODGE STRUCTURE
  7. II CURVATURE PROPERTIES OF THE HODGE BUNDLES
  8. III INFINITESIMAL VARIATION OF HODGE STRUCTURE
  9. IV ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE
  10. V MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION
  11. VI THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS
  12. VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK)
  13. VIII INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS
  14. IX THE TORELLI PROBLEM FOR ELLIPTIC PENCILS
  15. X THE PERIOD MAP AT THE BOUNDARY OF MODULI
  16. XI THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS
  17. XII INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM
  18. XIII GENERIC TORELLI AND VARIATIONAL SCHOTTKY
  19. XIV INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS
  20. XV EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES
  21. XVI SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS
  22. XVII INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS