4 papers
O'Grady spaces and symplectic resolution of moduli spaces of Higgs bundles
Emilio Franco
We describe here a degeneration of the symplectic desingularization of the moduli spaces of topologically trivial and -Higgs bundles over a hyp…
Degeneration of natural Lagrangians and Prymian integrable systems
Emilio Franco
Starting from an anti-symplectic involution on a K3 surface, one can consider a natural Lagrangian subvariety inside the moduli space of sheaves over the K3. One can also construct…
Deformation theory of orthogonal and symplectic sheaves
Emilio Franco
We show that the space of first-order deformations of an orthogonal (resp. symplectic) sheaf over a smooth projective scheme is the first hypercohomology space of a complex which i…
Unramified covers and branes on the Hitchin system
Emilio Franco, Peter Gothen, André Oliveira +1
We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…