Symbolic Defect of Monomial Ideals

Benjamin R. Oltsik

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arXiv · 2310.12280

Symbolic Defect of Monomial Ideals

Benjamin R. Oltsik

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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.

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BibTeX RIS

Benjamin R. Oltsik. 2024-03-15. Symbolic Defect of Monomial Ideals. https://arxiv.org/abs/2310.12280

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