1 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
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…
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 $…
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…
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…
On the birational geometry of Hilbert schemes of points and Severi divisors
Cesar Lozano Huerta, Tim Ryan
We study the birational geometry of Hilbert schemes of points on non-minimal surfaces. In particular, we study the weak Lefschetz Principle in the context of birational geometry. W…
Curvas algebraicas y la pregunta de Halphen
Cesar Lozano Huerta
This is an expository paper written in Spanish. This paper discusses the answer and ideas around the Halphen question: what are the pairs (g,d) that occur as the genus and degree o…
Extremal higher codimension cycles of the space of complete conics
César Lozano Huerta
Let denote the space of complete conics. We compute the cone of effective and numerically effective -cycles of , and , respectively…
Birational Geometry of the Space of Complete Quadrics
César Lozano Huerta
We study the birational geometry of the moduli space of complete -quadrics . We exhibit generators for Eff and Nef, the cone of effective divisors and the cone of n…