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An Invitation to Arithmetic Geometry
About this Title
Dino J Lorenzini, University of Georgia, Athens, GA
Publication: Graduate Studies in Mathematics
Publication Year:
1996; Volume 9
ISBNs: 978-0-8218-0267-0 (print); 978-1-4704-2069-7 (online)
DOI: https://doi.org/10.1090/gsm/009
MathSciNet review: MR1376367
MSC: Primary 14G40; Secondary 11G20, 14-01
Table of Contents
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Front/Back Matter
Chapters
- Description of the chapters
- Chapter I. Integral closure
- Chapter II. Plane curves
- Chapter III. Factorization of ideals
- Chapter IV. The discriminants
- Chapter V. The ideal class group
- Chapter VI. Projective curves
- Chapter VII. Nonsingular complete curves
- Chapter VIII. Zeta-functions
- Chapter IX. The Riemann-Roch Theorem
- Chapter X. Frobenius morphisms and the Riemann hypothesis
- Chapter XI. Further topics
- Chapter XII. Appendix