Symbolic Defect of Monomial Ideals

Benjamin R. Oltsik

Symbolic Defect of Monomial Ideals

Commutative Algebra 2024-03-18 v4

Authors: Benjamin R. Oltsik

Abstract

Given a monomial ideal $I$ , we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$ . In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron.

Keywords

monomial ideals

Cite

@article{arxiv.2310.12280,
  title  = {Symbolic Defect of Monomial Ideals},
  author = {Benjamin R. Oltsik},
  journal= {arXiv preprint arXiv:2310.12280},
  year   = {2024}
}

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