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

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arxiv 2506.13346 v1 pith:ACVQFGFT submitted 2025-06-16 math.AG

Jefferson Baudin This is my paper · ORCID

classification math.AG

keywords mathbbcartiercrystalsdualityperversesheavesbau23generalize

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abstract

We generalize the results in [Bau23] to obtain a duality between $W_n$-Cartier crystals and perverse $\mathbb{Z}/p^n\mathbb{Z}$-sheaves.

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On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
math.AG 2025-07 conditional novelty 7.0 of 10

Smooth proper weakly ordinary varieties of maximal Albanese dimension satisfy chi(X, omega_X) >= 0, with chi = 0 for non-general-type examples and the Albanese image then fibered by ordinary abelian varieties.