An Invitation to Arithmetic Geometry

Front Cover
American Mathematical Soc., 1997 - Arithmetical algebraic geometry - 397 pages
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Contents

Integral closure
5
Plane curves
35
Factorization of ideals
85
The discriminants
131
The ideal class group
157
Projective curves
193
Nonsingular complete curves
225
Zetafunctions
269
The RiemannRoch Theorem
305
Frobenius morphisms and the Riemann hypothesis
339
Further topics
361
Appendix
375
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