3 papers
math.AG2021
Minimal free resolutions of sheaves on the projective plane and the stable base locus decomposition of their moduli spaces
Manuel Leal, César Lozano Huerta, Tim Ryan
The purpose of this paper is to incorporate minimal free resolutions into the study of the birational geometry of the moduli space of coherent sheaves on the plane with character $…
math.AG2020
On the weak Lefschetz principle in birational geometry
César Lozano Huerta, Alex Massarenti
This is an expository article written for the Notices of the AMS in which we discuss the weak Lefschetz Principle in birational geometry. Our departing point is the influential wor…
math.AG2018
The Lefschetz principle in birational geometry: birational twin varieties
César Lozano Huerta, Alex Massarenti
Inspired by the Weak Lefschetz Principle, we study when a smooth projective variety fully determines the birational geometry of some of its subvarieties. In particular, we consider…