An invitation to arithmetic geometry /
A text for a year-long introduction to arithmetic geometry, leading the reader in a logical progression from the local to the global properties of rings and curves through the study of class groups and of the Riemann-Roch theorem. Emphasizes the connection between algebraic number and algebraic curv...
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[1996].
©1996. |
| Series: | Graduate studies in mathematics ;
v. 9. |
| Subjects: |
Table of Contents:
- Integral closure
- Plane curves
- Factorization of ideals
- The discriminants
- The ideal class group
- Projective curves
- Nonsingular complete curves
- Zeta-functions
- The Riemann-Roch theorem
- Frobenius morphisms and the Riemann hypothesis
- Further topics.