J. Baudin

collaborators

5 papers

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 Rösler

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

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.

math.AG2025

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

Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +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.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…

Enriques' characterization of Abelian surfaces in positive characteristic

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

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

On Gorenstein Qp​-rational threefold and fourfold singularities

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves

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

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