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Introduction to Arakelov theory / Serge Lang.

By: Material type: TextTextPublication details: New York : Springer-Verlag, c1988.Description: x, 187 p. : ill. ; 25 cmISBN:
  • 9780387967936
Subject(s): DDC classification:
  • 512 23 L271
Contents:
Chapter I. Metrics and chern forms-- Chapter II. Green's functions on Rlemann surfaces-- Chapter III. Intersections on an arithmetic surface-- Chapter IV. Hodge index theorem and the adjunction formula-- Chapter V. The faltings Riemann-Roch theorem-- Chapter VI. Faltings volumes on cohomology-- Appendix-- References-- Index.
Summary: Arakelov introduced a component at infinity in arithmetic considerations giving rise to global theorems in an arithmetic context over the ring of integers of a number field. This book introduces this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512 L271 (Browse shelf(Opens below)) Available 135591
Total holds: 0

Includes index.

Bibliography: p. [179]-182.

Chapter I. Metrics and chern forms--
Chapter II. Green's functions on Rlemann surfaces--
Chapter III. Intersections on an arithmetic surface--
Chapter IV. Hodge index theorem and the adjunction formula--
Chapter V. The faltings Riemann-Roch theorem--
Chapter VI. Faltings volumes on cohomology--
Appendix--
References--
Index.

Arakelov introduced a component at infinity in arithmetic considerations giving rise to global theorems in an arithmetic context over the ring of integers of a number field. This book introduces this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem.

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