# Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals

```@article{Grisalde2022ReesAO,
title={Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals},
author={Gonzalo Grisalde and Alexandra Seceleanu and Rafael H. Villarreal},
journal={Research in the Mathematical Sciences},
year={2022},
volume={9},
pages={1-33}
}```
• Published 30 June 2021
• Mathematics
• Research in the Mathematical Sciences
The aims of this work are to study Rees algebras of filtrations of monomial ideals associated with covering polyhedra of rational matrices with nonnegative entries and nonzero columns using combinatorial optimization and integer programming and to study powers of monomial ideals and their integral closures using irreducible decompositions and polyhedral geometry. We study the Waldschmidt constant and the ic-resurgence of the filtration associated with a covering polyhedron and show how to…
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