J. Baudin

activity

20232026

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Showing 2025Show all

4 papers · 1 filter

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…

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