34 citations · 65 across the 7 of their papers we have counts for
13 papers
Singularities of Bridgeland moduli spaces for K3 categories: an update
Enrico Arbarello, Giulia Saccà
This survey is a continuation of the study undertaken in \cite{AS18}. We examine the local structure of Bridgeland moduli spaces $M_σ(v,\D)$, where the relevant triangulated catego…
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer +1
We show that the hyper-Kähler varieties of OG10-type constructed by Laza-Saccà-Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general resul…
The geometry of antisymplectic involutions, I
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady +1
We study fixed loci of antisymplectic involutions on projective hyperkähler manifolds of -type. When the involution is induced by an ample class of square 2 in t…
Birational geometry of the intermediate Jacobian fibration of a cubic fourfold
Giulia Saccà, with an appendix by Claire Voisin
We show that the intermediate Jacobian fibration associated to any smooth cubic fourfold admits a hyper-Kähler compactification with a regular Lagrangian fibration $J \t…
The Hodge numbers of O'Grady 10 via Ngô strings
Mark Andrea A. de Cataldo, Antonio Rapagnetta, Giulia Saccà
We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of a refinement of the Ngô Support T…
The Euler number of hyper-Kähler manifolds of OG10 type
Klaus Hulek, Radu Laza, Giulia Saccà
Using the Laza-Saccà-Voisin construction, we give a simple proof for the fact that the Euler characteristic of a hyper-Kähler manifold of OG10 type is 176,904, a result previously…
Remarks on degenerations of hyper-Kähler manifolds
János Kollár, Radu Laza, Giulia Saccà +1
Using the Minimal Model Program, any degeneration of K-trivial varieties can be arranged to be in a Kulikov type form, i.e. with trivial relative canonical divisor and mild singula…
The Hodge diamond of O'Grady's 6-dimensional example
Giovanni Mongardi, Antonio Rapagnetta, Giulia Saccà
We realize O'Grady's six dimensional example of irreducible holomorphic symplectic manifold as a quotient of an IHS manifold of K3-type by a birational involution, thereby…
A hyper-Kähler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold
Radu Laza, Giulia Saccà, Claire Voisin
For a general cubic fourfold, it was observed by Donagi and Markman that the relative intermediate Jacobian fibration associated to the family of its hyperplane sections carries a…
Explicit Brill-Noether-Petri general curves
Enrico Arbarello, Andrea Bruno, Gavril Farkas +1
Let be the points in with coordinates $$(-2,3),(-1,-4),(2,5),(4,9),(52,375), (5234, 37866),(8, -23), (43, 28…
Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties
Enrico Arbarello, Giulia Saccà
The aim of this paper is to study the singularities of certain moduli spaces of sheaves on K3 surfaces by means of Nakajima quiver varieties. The singularities in question arise fr…
Relative Prym varieties associated to the double cover of an Enriques surface
Enrico Arbarello, Giulia Saccà, Andrea Ferretti
Given an Enriques surface , its universal K3 cover , and a genus linear system on , we construct the relative Prym variety $P_H=\Prym_{v, H}(\D/\CC)$, wh…
Relative compactified Jacobians of linear systems on Enriques surfaces
Giulia Saccà
We study certain moduli spaces of sheaves on Enriques surfaces thereby obtaining, in every odd dimension, new examples of Calabi-Yau manifolds. We describe the geometry (canonical…