Gale duality, blowups and moduli spaces - Carolina Araujo
Seminario di Geometria Algebrica
Dettagli dell'evento
Quando
16/09/2019
dalle 15:30 alle 16:30
dalle 15:30 alle 16:30
Dove
Aula 1, DMI
Persona di riferimento
A. Massarenti
Abstract: Gale correspondence provides a duality between sets of n points in projective spaces of dimension s and r when n=r+s+2. For small values of s, this duality has a remarkable geometric manifestation: the blowup of a projective space of dimension r at n points can be realized as a moduli space of vector bundles on the blowup of a projective space of dimension s at the Gale dual points. We explore this realization to describe the birational geometry of blowups of projective spaces at points in very general position.
