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…