Anurag K. Singh

works on

coordinate rings 1 divisor class group 1 f-regularity 1 nilpotent matrices 1 symmetric matrices 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.AC2026

The variety of nilpotent matrices is $F$ -regular

Jack Jeffries, Vaibhav Pandey, Anurag K. Singh

The authors provide an elementary proof that the coordinate ring of the variety of nilpotent matrices is F‑regular and has divisor class group Z/nZ, and they show that for symmetri…

math.AC2024

Flat morphisms with regular fibers do not preserve $F$ -rationality

Eamon Quinlan-Gallego, Austyn Simpson, Anurag K. Singh

For each positive prime integer $p$ we construct a standard graded $F$ -rational ring $R$ , over a field $K$ of characteristic $p$ , such that $R \otimes_{K} K$ is not $F$ -rati…

The variety of nilpotent matrices is F-regular

Flat morphisms with regular fibers do not preserve F-rationality

The variety of nilpotent matrices is $F$ -regular

Flat morphisms with regular fibers do not preserve $F$ -rationality