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Products of Ideals and Jet Schemes

2016/10/14 by Pogudin, Gleb
#12H05 #12H20 #14B10 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.04353

Abstract

In the present paper, we give a full description of the jet schemes of the polynomial ideal ( x1… xn ) ∈ k[x1, …, xn] over a field of zero characteristic. We use this description to answer questions about products and intersections of ideals emerged recently in algorithmic studies of algebraic differential equations.

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