• 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