Introduction to Arakelov theory / Serge Lang.
Material type:
TextPublication details: New York : Springer-Verlag, c1988.Description: x, 187 p. : ill. ; 25 cmISBN: - 9780387967936
- 512 23 L271
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512 L271 (Browse shelf(Opens below)) | Available | 135591 |
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| 512 L271 Undergraduate algebra | 512 L271 Undergraduate algebra | 512 L271 Algebra | 512 L271 Introduction to Arakelov theory / | 512 L425 Algebra & geometry : an introduction to university mathematics / | 512 L664 Elements of algebra | 512 L664 Algebra |
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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