Exceptional complete intersection maps of local rings

DOI10.2140/pjm.2022.318.275zbMath1496.13011arXiv2107.07354OpenAlexW3182659860MaRDI QIDQ2168221

Srikanth B. Iyengar, Josh Pollitz, Janina C. Letz, Jian Liu

Publication date: 31 August 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07354

zbMATH Keywords

Hochschild cohomologythick subcategoryexceptional complete intersectiontruncated Atiyah class

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Morphisms of commutative rings (13B10) Derived categories and commutative rings (13D09)

Related Items

ANNIHILATORS AND DIMENSIONS OF THE SINGULARITY CATEGORY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reflexivity and rigidity for complexes, I: Commutative rings
• Modules of finite virtual projective dimension
• Homological dimensions of unbounded complexes
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• An obstruction to lifting cyclic modules
• Cohomology operators defined by a deformation
• The theory of \(L\)-complexes and weak liftings of complexes
• Complete intersection dimension
• Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
• Derived categories of coherent sheaves on some zero-dimensional schemes
• Local to global principles for generation time over commutative Noetherian rings
• The derived category of a locally complete intersection ring
• Liftings and weak liftings of modules
• On liftable and weakly liftable modules
• Finiteness in derived categories of local rings
• Rational homotopy theory
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• 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.
• 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
• A local-global principle for small triangulated categories
• Thick subcategories of the bounded derived category of a finite group
• Local Rings of High Embedding Dimension