Riemann-Roch Algebra

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M. Artin S. S. Chern J. M. Frohlich E. Heinz H. Hironaka F. Hirzebruch L. Hormander S. Mac Lane W. Magnus C. C. Moore J. K. Moser M. Nagata W. Schmidt D. S. Scott Ya. G. Sinai J. Tits B. L. van der Waerden M. Waldschmidt S. Watanabe Managing Editors

M. Berger

B. Eckmann S. R. S. Varadhan

Grundlehren der mathematischen Wissenschaften A Series of Comprehensive Studies in Mathematics

A Selection 190. 191. 192. 193. 194. 195. 196. 197. 198. 199. 200. 20 I. 202. 203. 204. 205. 206. 207. 208. 209. 210. 211. 212. 213. 214. 215. 216. 217. 218. 219. 220. 221. 222. 223. 224. 225. 226. 227. 228. 229. 230.. 231. 232. 233. 234.

Faith: Algebra: Rings, Modules, and Categories I Faith: Algebra II, Ring Theory Mal'cev: Algebraic Systems P61ya/Szego: Problems and Theorems in Analysis I lgusa: Theta Functions Berberian: Baer*-Rings Athreya/Ney: Branching Processes Benz: Vorlesungen iiber Geometrie der Algebren Gaal: Linear Analysis and Representation Theory Nitsche: Vorlesungen iiber Minimalfliichen Dold: Lectures on Algebraic Topology Beck: Continuous Flows in the Plane Schmetterer: Introduction to Mathematical Statistics Schoeneberg: Elliptic Modular Functions Popov: Hyperstability of Control Systems Nikol'skii: Approximation of Functions of Several Variables and Imbedding Theorems Andre: Homologie des Algebres Commutatives Donoghue: Monotone Matrix Functions and Analytic Continuation Lacey: The Isometric Theory of Classical Banach Spaces Ringel: Map Color Theorem Gihman/Skorohod: The Theory of Stochastic Processes I Comfort/Negrepontis: The Theory of Ultrafilters Switzer: Algebraic Topology-Homotopy and Homology Shafarevich: Basic Algebraic Geometry van der Waerden: Group Theory and Quantum Mechanics Schaefer: Banach Lattices and Positive Operators P6Jya/Szego: Problems and Theorems in Analysis II Stenstrom: Rings of Quotients Gihman/Skorohod: The Theory of Stochastic Process II Duvant/Lions: Inequalities in Mechanics and Physics Kirillov: Elements of the Theory of Representations Mumford: Algebraic Geometry 1: Complex Projective Varieties Lang: Introduction to Modular Forms Bergh/Lofstrom: Interpolation Spaces. An Introduction Gilbarg/Trudinger: Elliptic Partial Differential Equations of Second Order Schiitte: Proof Theory Karoubi: K-Theory, An Introduction Grauert/Remmert: Theorie der Steinschen Riiume Segal/Kunze: Integrals and Operators Hasse: Number Theory Klingenberg: Lectures on Closed Geodesics Lang: Elliptic Curves: Diophantine Analysis Gihman/Skorohod: The Theory of Stochastic Processes III Stroock/Varadhan: Multi-dimensional Diffusion Processes Aigner: Combinatorial Theory Continued after Index

William Fulton Serge Lang

Riemann-Roch Algebra

Springer Science+Business Media, LLC

William Fulton Department of Mathematics Brown University Providence, RI 02912

Serge Lang Department of Mathematics Yale ·University New Haven, CT 06520

U.S.A.

U.S.A.

AMS Subject Classification: 14C40

Library of Congress Cataloging in Publication Data Fulton, William Riemann-Roch algebra. (Grundlehren der mathematischen W