3 papers
math.AG2026
Explicit birational geometry of determinantal quartic 3-folds
Manuel Leal, César Lozano Huerta, Montserrat Vite
A general linear determinantal quartic in is nodal, non--factorial and rational. We show that the family of such quartics also contains rat…
math.AG2024
The Noether-Lefschetz locus of surfaces in formed by determinantal surfaces
Manuel Leal, César Lozano Huerta, Montserrat Vite
We compute the dimension of certain components of the family of smooth determinantal degree surfaces in , and show that each of them is the closure of a component…
math.AG2024
Geometry of syzygies of sheaves on via interpolation and Bridgeland stability
Manuel Leal, Cesar Lozano Huerta, Tim Ryan
We show that the minimal free resolution of a general semi-stable sheaf on contains a subcomplex that determines an extremal ray of the cone of effective divisor…