Support varieties - an ideal approach

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dc.creatorBuan, Aslak Bakke
dc.creatorKrause, Henning
dc.creatorSolberg, Øyvind
dc.date2005-08-20
dc.date.accessioned2026-07-07T05:22:31Z
dc.date.available2026-07-07T05:22:31Z
dc.descriptionWe define support varieties in an axiomatic setting using the prime spectrum of a lattice of ideals. A key observation is the functoriality of the spectrum and that this functor admits an adjoint. We assign to each ideal its support and can classify ideals in terms of their support. Applications arise from studying abelian or triangulated tensor categories. Specific examples from algebraic geometry and modular representation theory are discussed, illustrating the power of this approach which is inspired by recent work of Balmer.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0508379
dc.identifierhttp://arxiv.org/abs/math/0508379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76092
dc.subjectCategory Theory
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleSupport varieties - an ideal approach
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