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
Picard bundles and the degree of irrationality of Jacobians and Pryms
Federico Moretti, Andrés Rojas
For a smooth projective curve of genus , we study some positivity properties of (twisted) rank- Picard bundles on the -fold symmetric product. As an application, we prove…
math.AG2025
Monodromy of the Prym map and semicanonical pencils in genus 6
Martà Lahoz, Juan Carlos Naranjo, Andrés Rojas +1
The Prym map in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil …