Products of Ideals and Jet Schemes

Gleb Pogudin

Research output: Working paper and reportsPreprint

Abstract

In the present paper, we give a full description of the jet schemes of the polynomial ideal (x_1,...,x_n) in k[x_1,...,x_n] 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.
Original languageEnglish
Number of pages13
DOIs
Publication statusPublished - Oct 2016

Publication series

NamearXiv.org
ISSN (Print)2331-8422

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101013 Mathematical logic
  • 102031 Theoretical computer science

JKU Focus areas

  • Computation in Informatics and Mathematics
  • Engineering and Natural Sciences (in general)

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