6 citations · 8 across the 10 of their papers we have counts for
11 papers
Intersection theory on singular moduli spaces of vector bundles: a parabolic approach
Camilla Felisetti, Olga Trapeznikova
We present explicit formulas for the intersection pairing in the intersection cohomology of the moduli space of rank-, degree- semistable bundles on a Riemann surfac…
Parabolic bundles and the intersection cohomology of moduli spaces of vector bundles on curves
Camilla Felisetti, Andras Szenes, Olga Trapeznikova
The study of the intersection cohomology of moduli spaces of semistable bundles was initiated by Frances Kirwan in the 1980s. In this paper, we develop a self-contained, purely geo…
phenomena in algebraic and enumerative geometry
Camilla Felisetti
In view of the recent proofs of the P=W conjecture, the present paper reviews and relates the latest results in the field, with a view on how P=W phenomena appear in multiple areas…
O'Grady tenfolds as moduli spaces of sheaves
Camilla Felisetti, Franco Giovenzana, Annalisa Grossi
We give a lattice-theoretic characterization for a manifold of type to be birational to some moduli space of (twisted) sheaves on a K3 surface. We apply it to the L…
On generalized nefness and bigness in adjunction theory
Camilla Felisetti, Claudio Fontanari
We investigate effectiveness and ampleness of adjoint divisors of the form , where is a suitably positive line bundle on a smooth projective variety and are…
On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties
Camilla Felisetti, Junliang Shen, Qizheng Yin
We prove several results concerning the intersection cohomology and the perverse filtration associated with a Lagrangian fibration of an irreducible symplectic variety. We first sh…
Betti numbers of Brill-Noether varieties on a general curve
Camilla Felisetti, Claudio Fontanari
We compute the rational cohomology groups of the smooth Brill-Noether varieties , parametrizing linear series of degree and dimension exactly on a general curve $…
On the Splitting Principle of Beniamino Segre
Camilla Felisetti, Claudio Fontanari
We state and prove in modern terms a Splitting Principle first claimed by Beniamino Segre in 1938, which should be regarded as a strong form of the classical Principle of Connected…
P=W conjectures for character varieties with symplectic resolution
Camilla Felisetti, Mirko Mauri
We establish P=W and PI=WI conjectures for character varieties with structural group and which admit a symplectic resolution, i.e. for genus 1 and a…
Intersection cohomology of the moduli space of Higgs bundles on a genus 2 curve
Camilla Felisetti
Let be a smooth projective curve of genus . Following a method by O' Grady, we construct a semismall desingularization of the moduli space $\ma…
A support theorem for nested Hilbert schemes of planar curves
Camilla Felisetti
Consider a family of integral complex locally planar curves. We show that under some assumptions on the basis, the relative nested Hilbert scheme is smooth. In this case, the decom…