87 citations · 288 across the 27 of their papers we have counts for
24 papers · 1 filter
Combinatorial decomposition theorem for Hitchin systems via zonotopes
Mirko Mauri, Luca Migliorini, Roberto Pagaria
We determine the summands of the decomposition theorem for the Hitchin system for , in arbitrary degree, over the locus of reduced spectral curves. The key ingredien…
Hodge-to-singular correspondence for reduced curves
Mirko Mauri, Luca Migliorini
We study the summands of the decomposition theorem for the Hitchin system for , in arbitrary degree, over the locus of reduced spectral curves. A key ingredient is a…
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…
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.…
A support theorem for Hilbert schemes of planar curves, II
Luca Migliorini, Vivek Shende, Filippo Viviani
We study the cohomology of Jacobians and Hilbert schemes of points on reduced and locally planar curves, which are however allowed to be singular and reducible. We show that the co…
The combinatorics and topology of proper toric maps
M. A. de Cataldo, L. Migliorini, M. Mustata
We study the topology of toric maps. We show that if is a proper toric morphism, with simplicial, then the cohomology of every fiber of is pure and of Hodg…