Research Catalog

Shafarevich maps and automorphic forms

Title
Shafarevich maps and automorphic forms / János Kollár.
Author
Kollár, János
Publication
Princeton, N.J. : Princeton University Press, [1995], ©1995.

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Subject
  • Automorphic forms
  • Shafarevich maps
  • Complex manifolds
Note
  • "M.B. Porter lectures."
Bibliography (note)
  • Includes bibliographical references (p. [191]-199) and index.
Contents
Ch. 1. Lefschetz-Type Theorems for [pi][subscript 1] -- Ch. 2. Families of Algebraic Cycles -- Ch. 3. Shafarevich Maps and Variants -- Ch. 4. The Fundamental Group and the Classification of Algebraic Varieties -- Ch. 5. The Method of Poincare -- Ch. 6. The Method of Atiyah -- Ch. 7. Subjectivity of the Poincare Map -- Ch. 8. Ball Quotients -- Ch. 9. The Kodaira Vanishing Theorem -- Ch. 10. Generalizations of the Kodaira Vanishing Theorem -- Ch. 11. Vanishing of L[superscript 2]-Cohomologies -- Ch. 12. Rational Singularities and Hodge Theory -- Ch. 13. The Method of Gromov -- Ch. 14. Nonvanishing Theorems -- Ch. 15. Plurigenera in Etale Covers -- Ch. 16. Existence of Automorphic Forms -- Ch. 17. Applications to Abelian Varieties -- Ch. 18. Open Problems and Further Remarks.
ISBN
0691043817 (acid-free paper)
LCCN
94046270
OCLC
  • 31737738
  • ocm31737738
Owning Institutions
Columbia University Libraries