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Remarks on degenerations of hyper-K\"ahler manifolds

- J. Koll'ar, R. Laza, Giulia Saccà, C. Voisin
- Mathematics
- 10 April 2017

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 singularities. In the… Expand

Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties

- E. Arbarello, Giulia Saccà
- Mathematics
- 4 May 2015

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 from the choice of a… Expand

The Hodge diamond of O’Grady’s six-dimensional example

- Giovanni Mongardi, A. Rapagnetta, Giulia Saccà
- Mathematics
- Compositio Mathematica
- 22 March 2016

We realize O’Grady’s six-dimensional example of an irreducible holomorphic symplectic (IHS) manifold as a quotient of an IHS manifold of $\text{K3}^{[3]}$ type by a birational involution, thereby… Expand

Relative Prym varieties associated to the double cover of an Enriques surface

- E. Arbarello, Giulia Saccà, A. Ferretti
- Mathematics
- 18 November 2012

Given an Enriques surface $T$, its universal K3 cover $f: S\to T$, and a genus $g$ linear system $|C|$ on $T$, we construct the relative Prym variety $P_H=\Prym_{v, H}(\D/\CC)$, where $\CC\to |C|$… Expand

A hyper-K\"ahler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold

- R. Laza, Giulia Saccà, C. Voisin
- Mathematics
- 17 February 2016

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 natural holomorphic… Expand

The Hodge numbers of O'Grady 10 via Ngô strings

- M. D. Cataldo, A. Rapagnetta, Giulia Saccà
- Mathematics
- Journal de Mathématiques Pures et Appliquées
- 8 May 2019

We determine the Hodge numbers of the hyper-Kahler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of a refinement of the Ngo Support Theorem.

The Euler number of hyper-K¨ahler manifolds of OG10 type

- K. Hulek, R. Laza, Giulia Saccà
- Mathematics
- 2 February 2019

Using the Laza-Sacc\`a-Voisin construction, we give a simple proof for the fact that the Euler characteristic of a hyper-K\"ahler manifold of OG10 type is 176,904, a result previously established by… Expand

Explicit Brill-Noether-Petri general curves

- E. Arbarello, A. Bruno, G. Farkas, Giulia Saccà
- Mathematics
- 23 November 2015

Let $p_1,\dots, p_9$ be the points in $\mathbb A^2(\mathbb Q)\subset \mathbb P^2(\mathbb Q)$ with coordinates $$(-2,3),(-1,-4),(2,5),(4,9),(52,375), (5234, 37866),(8, -23), (43, 282),… Expand

Relative compactified Jacobians of linear systems on Enriques surfaces

- Giulia Saccà
- Mathematics
- 28 October 2012

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 bundle,… Expand

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