On support varieties for modules over complete intersections
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Publication:5423933
DOI10.1090/S0002-9939-07-09009-0zbMath1127.13008arXiv0708.3914OpenAlexW2064180597MaRDI QIDQ5423933
Publication date: 1 November 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.3914
Linkage, complete intersections and determinantal ideals (13C40) Complete intersections (14M10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14)
Related Items (12)
Realizability and the Avrunin–Scott theorem for higher-order support varieties ⋮ Cohomological supports over derived complete intersections and local rings ⋮ Support varieties -- an axiomatic approach ⋮ On the existence of cluster tilting objects in triangulated categories ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Bounds on cohomological support varieties ⋮ On the vanishing of (co)homology over local rings ⋮ Cohomological support and the geometric join ⋮ Modules that detect finite homological dimensions ⋮ Symmetries and connected components of the AR-quiver of a Gorenstein local ring ⋮ Thick subcategories of the bounded derived category of a finite group ⋮ Matrix factorizations in higher codimension
Cites Work
- The variety of an indecomposable module is connected
- Modules with reducible complexity
- Modules of finite virtual projective dimension
- Complete intersection dimension
- Support varieties and cohomology over complete intersections
- Support varieties for selfinjective algebras.
- The homological theory of maximal Cohen-Macaulay approximations
- Remarks on a depth formula, a grade inequality and a conjecture of Auslander
- Support varieties and Hochschild cohomology rings
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