3 papers
math.AG2026
Coble type hypersurfaces and hyperkähler fourfolds
Benedetta Piroddi, Ãngel David RÃos 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…
math.AG2026
A symplectic fourfold
Maria Donten-Bury, Grzegorz Kapustka, Benedetta Piroddi +1
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, w…
math.AG2025
Symplectic actions of groups of order 4 on K3^[2]-type manifolds, and standard involutions on Nikulin-type orbifolds
Benedetta Piroddi
Given a K3^[2]-type manifold X with a symplectic involution i, the quotient X/i admits a Nikulin orbifold Y as terminalization. We study the symplectic action of a group G of order…