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On Igusa zeta functions of monomial ideals [PDF]

open access: green, 2005
Jason Howald   +2 more
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On properties of monomial ideals and algebras.

open access: yes, 2022
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to study various operations on monomial ideals and algebras, as well as their properties. This thesis consists of an introduction and four research articles. The introduction covers the necessary background and the existing results. The first two papers are
openaire   +2 more sources

Minimal resolutions of monomial ideals [PDF]

open access: green, 2019
Eagon, John, Miller, Ezra, Ordog, Erika
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Symbolic defect of monomial ideals

open access: yesCommunications in Algebra
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.
openaire   +2 more sources

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