Duality and symmetry of complexity over complete intersections via exterior homology

DOI10.1090/proc/15276zbMath1453.13047arXiv2006.04958OpenAlexW3086906001MaRDI QIDQ5145516

Josh Pollitz, Jian Liu

Publication date: 20 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04958

zbMATH Keywords

complexitycomplete intersectionsdualityKoszul complexexterior algebrathick subcategoriessupport varietyDG moduleDG algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Differential graded algebras and applications (associative algebraic aspects) (16E45) Derived categories and commutative rings (13D09)

Related Items (5)

Exceptional complete intersection maps of local rings ⋮ Cohomological supports of tensor products of modules over commutative rings ⋮ Cohomological jump loci and duality in local algebra ⋮ Bounds on cohomological support varieties ⋮ A partial converse ghost lemma for the derived category of a commutative Noetherian ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Support varieties and cohomology over complete intersections
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• Homology of perfect complexes
• The derived category of a locally complete intersection ring
• Finiteness in derived categories of local rings
• Subcategories of singularity categories via tensor actions
• Cohomology over complete intersections via exterior algebras
• A set of generators for $\mathrm{Ext}_R(k,k)$.
• A local-global principle for small triangulated categories
• Duality for bounded derived categories of complete intersections
• Thick subcategories of the bounded derived category of a finite group

This page was built for publication: Duality and symmetry of complexity over complete intersections via exterior homology