1
Auslander-Buchsbaum-Serre Theorem
▶
1.1
Nakayama’s Lemma and Corollaries
1.2
Projective Resolutions
1.3
Prime Avoidance and Variants
1.4
Dimension Theory
1.5
Regular elements and sequences
1.6
Support Theory
1.7
Selected Results on Primary Decomposition
1.8
Associated Primes
1.9
Depth and Regular Sequences
1.10
Auslander-Buchsbaum Formula
1.11
Proof of Auslander-Buchbaum-Serre
2
Adjunction Formula
▶
2.1
Regular Rings
2.2
Misc Commutative Algebra
2.3
Kahler differentials
2.4
Coherent Sheaves and Stalks
2.5
Irreducible Schemes
2.6
Left-exactness of conormal bundle
2.7
Main Proof
Section 1 graph
Section 2 graph
Blueprint for the Adjunction Formula
Edited by Jack J. Garzella and Calvin Lee
July 29, 2023
1
Auslander-Buchsbaum-Serre Theorem
1.1
Nakayama’s Lemma and Corollaries
1.2
Projective Resolutions
1.3
Prime Avoidance and Variants
1.4
Dimension Theory
1.5
Regular elements and sequences
1.6
Support Theory
1.7
Selected Results on Primary Decomposition
1.8
Associated Primes
1.9
Depth and Regular Sequences
1.10
Auslander-Buchsbaum Formula
1.11
Proof of Auslander-Buchbaum-Serre
2
Adjunction Formula
2.1
Regular Rings
2.2
Misc Commutative Algebra
2.3
Kahler differentials
2.4
Coherent Sheaves and Stalks
2.5
Irreducible Schemes
2.6
Left-exactness of conormal bundle
2.7
Main Proof