J. Baudin

activity

20232026

collaborators

8 papers

math.AG2026

Cartier crystals and dual-constructible $p$ -torsion complexes

Jefferson Baudin, Kay Rülling

We show that given a Noetherian and $F$ -finite scheme, the fixed point functor on Cartier crystals is fully faithful to the category of sheaves on the flat and relatively perfect s…

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…

math.AG2023

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.AG2023

Duality between Cartier crystals and perverse $F_{p}$ -sheaves, and application to generic vanishing

Jefferson Baudin

We show that on any Noetherian $F$ -finite $F_{p}$ -scheme, there is an anti-equivalence of categories between Cartier crystals and étale perverse $F_{p}$ -sheaves, comm…

Cartier crystals and dual-constructible p-torsion complexes

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

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

Duality between Cartier crystals and perverse Fp​-sheaves, and application to generic vanishing

Cartier crystals and dual-constructible $p$ -torsion complexes

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

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

Duality between Cartier crystals and perverse $F_{p}$ -sheaves, and application to generic vanishing