Cohomological jump loci and duality in local algebra
From MaRDI portal
Publication:6040860
DOI10.1007/s00209-023-03276-9zbMath1523.13025arXiv2201.06762MaRDI QIDQ6040860
Josh Pollitz, Daniel A. McCormick, Benjamin Briggs
Publication date: 22 May 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.06762
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bass numbers over local rings via stable cohomology
- Modules of finite virtual projective dimension
- Cohomology operators defined by a deformation
- Local rings over which all modules have rational Poincaré series
- Complete intersection dimension
- Homological algebra modulo a regular sequence with special attention to codimension two
- Support varieties and cohomology over complete intersections
- Examples of finite free complexes of small rank and small homology
- Complete intersection dimensions for complexes
- Support sets of pairs of modules.
- Quadratic complete intersections
- Homology of perfect complexes
- Morita theory and singularity categories
- The derived category of a locally complete intersection ring
- Constructing modules with prescribed cohomological support
- The Poincaré series of a local ring
- Cohomological supports over derived complete intersections and local rings
- Cohomology over complete intersections via exterior algebras
- Maximal Cohen–Macaulay Modules and Tate Cohomology
- Local cohomology and support for triangulated categories
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
- Recent results on cohomology jump loci
- CONSTRUCTING NONPROXY SMALL TEST MODULES FOR THE COMPLETE INTERSECTION PROPERTY
- Locally Complete Intersection Maps and the Proxy Small Property
- Duality and symmetry of complexity over complete intersections via exterior homology
- Matrix factorizations in higher codimension
- Duality for bounded derived categories of complete intersections
- Thick subcategories of the bounded derived category of a finite group
- Algèbre commutative