Thomas Polstra

activity

20122020

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Showing 2018Show all

3 papers · 1 filter

math.AC2018

Global Frobenius Betti numbers and F-splitting ratio

Alessandro De Stefani, Thomas Polstra, Yongwei Yao

We extend the notion of Frobenius Betti numbers and F-splitting ratio to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be…

math.AG2018

$F$ -signature under birational morphisms

Linquan Ma, Thomas Polstra, Karl Schwede +1

We study $F$ -signature under proper birational morphisms $π : Y \to X$ , showing that $F$ -signature strictly increases for small morphisms or if $K_{Y} \geq π^{*} K_{X}$ . In certain cases,…

math.AC2018

Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals

Thomas Polstra, Pham Hung Quy

The study of Frobenius actions on local cohomology modules over a local ring of prime characteristic has interesting connections with the theory of tight closure. This paper establ…

Global Frobenius Betti numbers and F-splitting ratio

F-signature under birational morphisms

Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals

$F$ -signature under birational morphisms