Summary: Algebraic Geometry I Class Notes
Instructor: Amod Agashe
September 3, 2008
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Contents
1 Lecture 1 5
1.1 General class information . . . . . . . . . . . . . . . . . . . . . 5
1.2 Motivation for studying algebraic geometry . . . . . . . . . . . 6
1.2.1 Finding all pythagorean triples . . . . . . . . . . . . . 6
1.2.2 Elliptic curves . . . . . . . . . . . . . . . . . . . . . . . 8
2 Lecture 2 11
2.1 Questions from last time . . . . . . . . . . . . . . . . . . . . . 11
2.2 Motivation continued . . . . . . . . . . . . . . . . . . . . . . . 12
2.2.1 Algebraic sets, ideals and schemes . . . . . . . . . . . . 12
2.2.2 Back to the motivation . . . . . . . . . . . . . . . . . . 13
2.3 The course proper . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.3.1 Chapter I §1: Affine Varieties . . . . . . . . . . . . . . 13
2.4 One more comment (office hours) . . . . . . . . . . . . . . . . 14
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Source: Agashe, Amod - Department of Mathematics, Florida State University

Collections: Mathematics