Dualities and intersection multiplicities

2007/05/09 by Anders Frankild, Anders J. Frankild, Frankild, Anders J. +2
Mathematics · #13A35 #13D22 #13H15 #14F17 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13A35 #msc:13D22 #msc:13H15 #msc:14F17

paper · pdf · doi:10.48550/arxiv.0705.1253

arxiv created 2007/05/09 · openalex publication_date 2007/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a commutative, noetherian, local ring. Topological Q-vector spaces modelled on full subcategories of the derived category of R are constructed in order to study intersection multiplicities.

Citations

• Dimension projective finie et cohomologie locale

Related

• Multiplicities and degree functions in local rings via intersection products
• Complete intersections and derived categories
• Positivity of Intersection Multiplicity Over a Two-Dimensional Base
• Locally complete intersection maps and the proxy small property
• Quasi-complete intersection homomorphisms