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Introduction to Algebraic Geometry

Introduction toAlgebraicGeometryIntroduction toAlgebraicGeometrybyJustin R. SmithSecond EditionThis is dedicated to mywonderful wife, Brigitte. 2021. Justin R. Smith. All rights : 9798751789374 (Independently Published)Also by Justin R. Smith Eye of a Fly(Kindle edition). The God Virus(Kindle and paperback) Ohana(Kindle and paperback) The Accidental Empress(Kindle and paperback) Constance Fairchild Adventures (published by Silver Leaf Books): The Mills of God,hardcover. The Well of Souls,(Kindle edition and paperback).Justin Smith s home Algebraic Geometry seems to have acquired the reputation of beingesoteric, exclusive, and very abstract, with adherents who are secretlyplotting to take over all the rest of mathematics. In one respect thislast point is accurate. David Mumford in [122].This book is intended for self-study or as a textbook for graduate studentsor advanced undergraduates. It presupposes some basic knowledge of point-set topology and a solid foundation in linear algebra.

Curves 305 6.1. Basic properties 305 6.2. Elliptic curves 313 6.3. The Riemann-Roch Theorem 323 6.4. The modern approach to Riemann-Roch 331 6.5. The Hurwitz-Riemann Formula 333 6.6. The j-invariant 337 Appendix A. Algebra 341 A.1. Rings 341 A.2. Fields 386 A.3. Unique factorization domains 411 A.4. Further topics in ring theory 419 A.5. A ...

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