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

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AG2019★ 20 cited

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 $2$ curves and arbitrary rank. In higher genus and arbitrary rank, we pr…

math.AG2019★ 2 cited

A support theorem for the Hitchin fibration: the case of $G L_{n}$ and $K_{C}$

Mark Andrea A. de Cataldo, Jochen Heinloth, Luca Migliorini

We compute the supports of the perverse cohomology sheaves of the Hitchin fibration for $G L_{n}$ over the locus of reduced spectral curves. In contrast to the case of meromorphic Hig…

Hitchin fibrations, abelian surfaces, and the P=W conjecture

A support theorem for the Hitchin fibration: the case of GLn​ and KC​

A support theorem for the Hitchin fibration: the case of $G L_{n}$ and $K_{C}$