20 citations · 44 across the 8 of their papers we have counts for
8 papers
Geometry of the logarithmic Hodge moduli space (with an Appendix joint with Siqing Zhang)
Mark Andrea A. de Cataldo, Andres Fernandez Herrero
We show the smoothness over the affine line of the Hodge moduli space of logarithmic t-connections of coprime rank and degree on a smooth projective curve with geometrically integr…
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…
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 . By using specialization techniques, under suitable natural coprimality conditions,…
Projective Completion of Moduli of -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 -actions over the ground field of complex numbers, to the case of a universally Japanes…
Hitchin fibrations, abelian surfaces, and the P=W conjecture
Mark Andrea A. de Cataldo, Davesh Maulik, Junliang Shen
We study the topology of Hitchin fibrations via abelian surfaces. We establish the P=W conjecture for genus curves and arbitrary rank. In higher genus and arbitrary rank, we pr…
A support theorem for the Hitchin fibration: the case of and
Mark Andrea A. de Cataldo, Jochen Heinloth, Luca Migliorini
We compute the supports of the perverse cohomology sheaves of the Hitchin fibration for over the locus of reduced spectral curves. In contrast to the case of meromorphic Hig…
Frobenius semisimplicity for convolution morphisms
Mark Andrea de Cataldo, Thomas J. Haines, Li Li
This article concerns properties of mixed -adic complexes on varieties over finite fields, related to the action of the Frobenius automorphism. We establish a fiberwise crite…
A support theorem for the Hitchin fibration: the case of
Mark Andrea A. de Cataldo
We prove that the direct image complex for the -twisted Hitchin fibration is determined by its restriction to the elliptic locus, where the spectral curves are integral.…