Jefferson Baudin

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20242026

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math.AG2025

Effective characterization of ordinary abelian varieties, and beyond

Jefferson Baudin

We prove that the Albanese morphism of any normal proper variety $X$ in positive characteristic satisfying $S^{0} (X, ω_{X}) \neq = 0$ and $P_{2} (X) = 1$ is surjective with connected fibers…

math.AG2025

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension

Jefferson Baudin

We show that a smooth proper weakly ordinary variety $X$ of maximal Albanese dimension satisfies $χ (X, ω_{X}) \geq 0$ . We also show that if $X$ is not of general type, then $χ(X, ω_X…

math.AG2025

Generic vanishing theory in positive characteristic

Jefferson Baudin

We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal variety $X$ of…