Thomas Polstra

activity

20122025

most citedF-signature and Hilbert-Kunz Multipicity: a combined approach and comparison

31 citations · 68 across the 17 of their papers we have counts for

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2 papers · 1 filter

math.AG2025

Bertini's theorem for $F$ -rational $F$ -pure singularities

Alessandro De Stefani, Thomas Polstra, Austyn Simpson

Let $k$ be an algebraically closed field of characteristic $p > 0$ , and let $X \subseteq P_{k}^{n}$ be a quasi-projective variety that is $F$ -rational and $F$ -pure. We prove that…

math.AC2025

$F$ -injectivity does not imply $F$ -fullness in normal domains

Alessandro De Stefani, Thomas Polstra, Austyn Simpson

We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$ -injective but not $F$ -full. Along the way, we find ex…

Bertini's theorem for F-rational F-pure singularities

F-injectivity does not imply F-fullness in normal domains

Bertini's theorem for $F$ -rational $F$ -pure singularities

$F$ -injectivity does not imply $F$ -fullness in normal domains