J. Baudin

collaborators

7 papers

math.AG2026

On Gorenstein $Q_{p}$ -rational threefold and fourfold singularities

Jefferson Baudin, Zsolt Patakfalvi, Linus RÃ¶sler +1

We prove that for $n \leq 4$ and $p > 5$ , quasi--Gorenstein $F$ --pure and $Q_{p}$ --rational $n$ --fold singularities are canonical. This is analogous to the usual fact that r…

math.AG2026

The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails

Jefferson Baudin, Fabio Bernasconi, Tatsuro Kawakami

We show that the Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails for threefolds in any positive characteristic, and for terminal 3-folds in charac…

math.AG2026

Enriques' characterization of Abelian surfaces in positive characteristic

Jefferson Baudin, Gebhard Martin

Extending Enriques' characterization to algebraically closed fields of characteristic $p \geq 7$ , we show that every smooth projective surface $X$ with $h^{1} (X, O_{X}) = 2$ …

math.AG2025

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

Jefferson Baudin, Tatsuro Kawakami, Linus RÃ¶sler

Given a Cohen-Macaulay scheme of klt type $X$ and a resolution $I ¨ : Y \to X$ , we show that $R^{1} I ¨ _{*} I ¨ _{Y} = 0$ . We deduce that if $dim (X) = 3$ , then $X$ satisfies Grauert-Ri…

math.AG2025

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

Jefferson Baudin

We prove a Witt vector version of the usual Grauert-Riemenschneider vanishing theorem over fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzis…

math.AG2025

Duality between $W_{n}$ -Cartier crystals and $Z / p^{n} Z$ -perverse sheaves

Jefferson Baudin

We generalize the results in [Bau23] to obtain a duality between $W_{n}$ -Cartier crystals and perverse $Z / p^{n} Z$ -sheaves.

On Gorenstein Qp​-rational threefold and fourfold singularities

The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails

Enriques' characterization of Abelian surfaces in positive characteristic

On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

Duality between Wn​-Cartier crystals and Z/pnZ-perverse sheaves

On Gorenstein $Q_{p}$ -rational threefold and fourfold singularities

Duality between $W_{n}$ -Cartier crystals and $Z / p^{n} Z$ -perverse sheaves