4 citations · 8 across the 7 of their papers we have counts for
8 papers
Coble type hypersurfaces and hyperkähler fourfolds
Benedetta Piroddi, Ángel David Ríos Ortiz, Andrés Rojas +1
A classical result, already observed by Coble, asserts that a genus 2 Jacobian can be embedded in as the singular locus of a unique cubic hypersurface; similarly, the…
Projective models for Hilbert squares of surfaces
Ángel David Ríos Ortiz, Andrés Rojas, Jieao Song
For a very general polarized surface of genus , we study the linear system on the Hilbert square associated to quadrics in $\mathbb{P…
Kernels of categorical resolutions of nodal singularities
Warren Cattani, Franco Giovenzana, Shengxuan Liu +4
In this paper we study derived categories of nodal singularities. We show that for all nodal singularities there is a categorical resolution whose kernel is generated by a or $…
Second Chern class and Fujiki constants of hyperkähler manifolds
Thorsten Beckmann, Jieao Song
We study characteristic classes on hyperkähler manifolds with a view towards the Verbitsky component. The case of the second Chern class leads to a conditional upper bound on the s…
Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds
Georg Oberdieck, Jieao Song, Claire Voisin
We prove that the complex cobordism class of any hyper-Kähler manifold of dimension is a unique combination with rational coefficients of classes of products of punctual Hilbe…
A special Debarre-Voisin fourfold
Jieao Song
Consider the finite simple group of order 660, which has an irreducible representation of dimension 10. In this note, we stud…
Some divisors in the moduli space of Debarre-Voisin varieties
Vladimiro Benedetti, Jieao Song
Let be a 10-dimensional complex vector space and let be a non-zero alternating 3-form. One can define several associated degeneracy loci: the…
On the image of the period map for polarized hyperkähler manifolds
Jieao Song
The moduli space for polarized hyperkähler manifolds of -type or -type with a given polarization type is not necessarily connected, which is a ph…