One higher dimensional analog of jet schemes

dc.creatorYuen, Cornelia
dc.date2006-08-25
dc.date.accessioned2026-07-07T07:22:10Z
dc.date.available2026-07-07T07:22:10Z
dc.descriptionWe develop the theory of truncated wedge schemes, a higher dimensional analog of jet schemes. We prove some basic properties and give an irreducibility criterion for truncated wedge schemes of a locally complete intersection variety analogous to Mustaţǎ's for jet schemes. We show that the reduced subscheme structure of a truncated wedge scheme of any monomial scheme is itself a monomial scheme in a natural way by explicitly describing generators of each of the minimal primes of any truncated wedge scheme of a monomial hypersurface. We give evidence that the irreducible components of the truncated wedge schemes of a reduced monomial hypersurface all have multiplicity one.
dc.description14 pages, this is part of the author's PhD thesis at the University of Michigan
dc.identifierhttps://arxiv.org/abs/math/0608633
dc.identifierhttp://arxiv.org/abs/math/0608633
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115561
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleOne higher dimensional analog of jet schemes
dc.typetext

Files

Collections