Jet schemes of determinantal varieties

dc.creatorYuen, Cornelia
dc.date2006-08-25
dc.date.accessioned2026-07-07T07:22:10Z
dc.date.available2026-07-07T07:22:10Z
dc.descriptionThis article studies the scheme structure of the jet schemes of determinantal varieties. We show that in general, these jet schemes are not irreducible. In the case of the determinantal variety $X$ of $r \times s$ matrices of rank at most one, we give a formula for the dimension of each of the components of its jet schemes. As an application, we compute the log canonical threshold of the pair $(\mathbb{A}^{rs},X)$.
dc.description10 pages, this is part of the author's PhD thesis at the University of Michigan
dc.identifierhttps://arxiv.org/abs/math/0608632
dc.identifierhttp://arxiv.org/abs/math/0608632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115560
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14M12
dc.titleJet schemes of determinantal varieties
dc.typetext

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