Codimension and connectedness of degeneracy loci over local rings

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dc.creatorFlenner, Hubert
dc.creatorUlrich, Bernd
dc.date2005-06-06
dc.date.accessioned2026-07-07T05:20:33Z
dc.date.available2026-07-07T05:20:33Z
dc.descriptionWe deduce results on the dimension and connectedness of degeneracy loci of maps of finite modules $f:M\to N$ over a local noetherian ring $(A,{\mathfrak m})$. We show for instance that the expected determinantal bounds on the dimension of the t-$th$ degeneracy locus of $f$ hold if $f\in {\mathfrak m} Hom (M,N)$, and that this degeneracy locus is connected in the expected dimension provided $\hat A$ is a domain.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0506095
dc.identifierhttp://arxiv.org/abs/math/0506095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75415
dc.subjectCommutative Algebra
dc.subject13C15; 13C40; 14M12
dc.titleCodimension and connectedness of degeneracy loci over local rings
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