Gröbner deformations and F-singularities

Authors

Mitra Koley, Indian Statistical Institute, Kolkata
Matteo Varbaro, Università degli Studi di Genova

Article Type

Research Article

Publication Title

Mathematische Nachrichten

Abstract

For polynomial ideals in positive characteristic, defining F-split rings and admitting a squarefree monomial initial ideal are different notions. In this note, we show that, however, there are strong interactions in both directions. Moreover, we provide an overview on which F-singularities are Gröbner deforming. Also, we prove the following characteristic-free statement: If (Figure presented.) is a height h prime ideal such that (Figure presented.) contains at least one squarefree monomial, then (Figure presented.) is a squarefree monomial ideal.

First Page

2903

Last Page

2917

DOI

https://10.1002/mana.202100459

Publication Date

7-1-2023

Recommended Citation

Koley, Mitra and Varbaro, Matteo, "Gröbner deformations and F-singularities" (2023). Journal Articles. 3663.
https://digitalcommons.isical.ac.in/journal-articles/3663