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 2021Show all

3 papers · 1 filter

math.AG2021★ 3 cited

Cohomology of the moduli of Higgs bundles via positive characteristic

Mark Andrea de Cataldo, Davesh Maulik, Junliang Shen +1

For any two degrees coprime to the rank, we construct a family of ring isomorphisms parameterized by GSp(2g) between the cohomology of the moduli spaces of stable Higgs bundles whi…

math.AG2021

A Cohomological Non Abelian Hodge Theorem in Positive Characteristic

Mark Andrea A. de Cataldo, Siqing Zhang

We start with a curve over an algebraically closed ground field of positive characteristic $p > 0$ . By using specialization techniques, under suitable natural coprimality conditions,…

math.AG2021

Projective Completion of Moduli of $t$ -Connections on Curves in Positive and Mixed Characteristic

Mark Andrea A. de Cataldo, Siqing Zhang

We generalize a compactification technique due to C. Simpson in the context of $G_{m}$ -actions over the ground field of complex numbers, to the case of a universally Japanes…

Cohomology of the moduli of Higgs bundles via positive characteristic

A Cohomological Non Abelian Hodge Theorem in Positive Characteristic

Projective Completion of Moduli of t-Connections on Curves in Positive and Mixed Characteristic

Projective Completion of Moduli of $t$ -Connections on Curves in Positive and Mixed Characteristic