Jieao Song

collaborators

3 papers

math.AG2026

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 $P^{8}$ as the singular locus of a unique cubic hypersurface; similarly, the…

math.AG2025

Projective models for Hilbert squares of $K 3$ surfaces

Ángel David Ríos Ortiz, Andrés Rojas, Jieao Song

For a very general polarized $K 3$ surface $S \subset P^{g}$ of genus $g \geq 5$ , we study the linear system on the Hilbert square $S^{[2]}$ parametrizing quadrics in $\mathbb{P…

math.AG2021

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 $2 n$ is a unique combination with rational coefficients of classes of products of punctual Hilbe…

Coble type hypersurfaces and hyperkähler fourfolds

Projective models for Hilbert squares of K3 surfaces

Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds

Projective models for Hilbert squares of $K 3$ surfaces