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Multiplicity of jet schemes of monomial schemes

2006/07/25 by Cornelia Yuen, Yuen, Cornelia
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG

paper · pdf · doi:10.48550/arxiv.math/0607638

5 pages, this is part of the author's Ph.D. thesis at the University of Michigan

arxiv created 2006/07/25 · arxiv updated 2009/12/01

Abstract

This article studies jet schemes of monomial schemes. They are known to be equidimensional but usually are not reduced. We thus investigate their structure further, giving a formula for the multiplicity along every component of the jet schemes of a general reduced monomial hypersurface (that is, the case of a simple normal crossing divisor).

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