Structure theorems for projective modules

✍ Scribed by G.A. Chicas Reyes

• Year: 2015
• Tongue: English
• Leaves: 30
• Series: expository notes
• Edition: version 12 Jul 2015
• Category: Library

✦ Table of Contents

First definitions......Page 2
Local characterization......Page 6
Invertible modules......Page 9
Fractional ideals......Page 10
Projective modules over Dedekind domains......Page 12
Free rank of a module......Page 13
Serre's theorem......Page 14
Bass' cancelation theorem......Page 17
Special sheaves of algebras......Page 19
Relative spectrum of a quasicoherent sheaf......Page 20
Affine vector bundles......Page 21
Relative homogeneous spectrum of a quasicoherent sheaf......Page 22
Projective vector bundles......Page 23
Existence of hypersurfaces......Page 25
Existence of finite quasi-sections......Page 28
References......Page 29