Mark Andrea A. de Cataldo

activity

20162022

most citedHitchin fibrations, abelian surfaces, and the P=W conjecture

20 citations · 44 across the 8 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AG2016★ 1 cited

Frobenius semisimplicity for convolution morphisms

Mark Andrea de Cataldo, Thomas J. Haines, Li Li

This article concerns properties of mixed $ℓ$ -adic complexes on varieties over finite fields, related to the action of the Frobenius automorphism. We establish a fiberwise crite…

math.AG2016★ 17 cited

A support theorem for the Hitchin fibration: the case of $S L_{n}$

Mark Andrea A. de Cataldo

We prove that the direct image complex for the $D$ -twisted $S L_{n}$ Hitchin fibration is determined by its restriction to the elliptic locus, where the spectral curves are integral.…

Frobenius semisimplicity for convolution morphisms

A support theorem for the Hitchin fibration: the case of SLn​

A support theorem for the Hitchin fibration: the case of $S L_{n}$