J. Baudin

activity

20232026

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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…

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

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

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