Course 311: Hilary Term 2006 Part VI: Introduction to Affine Schemes
نویسنده
چکیده
6 Introduction to Affine Schemes 2 6.1 Rings and Modules of Fractions . . . . . . . . . . . . . . . . . 2 6.2 The Spectrum of a Unital Commutative Ring . . . . . . . . . 5 6.3 The Spectrum of a Quotient Ring . . . . . . . . . . . . . . . . 7 6.4 The Spectrum of a Ring of Fractions . . . . . . . . . . . . . . 9 6.5 Intersections of Prime Ideals . . . . . . . . . . . . . . . . . . . 11 6.6 Topological Properties of the Spectrum . . . . . . . . . . . . . 12 6.7 Localization and the Structure Sheaf of a Unital Commutative Ring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 6.8 Affine Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . 20 6.9 Continuous Sections of the Structure Sheaf . . . . . . . . . . . 20 6.10 The Structural Sheaf of an Integral Domain . . . . . . . . . . 23 6.11 Rings of Congruence Classes . . . . . . . . . . . . . . . . . . . 24
منابع مشابه
Course 311: Hilary Term 2006 Part IV: Introduction to Galois Theory
4 Introduction to Galois Theory 2 4.1 Polynomial Rings . . . . . . . . . . . . . . . . . . . . . . . . . 2 4.2 Gauss’s Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . 5 4.3 Eisenstein’s Irreducibility Criterion . . . . . . . . . . . . . . . 6 4.4 Field Extensions and the Tower Law . . . . . . . . . . . . . . 6 4.5 Algebraic Field Extensions . . . . . . . . . . . . . . . . . . . . 8 4....
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