Gale duality, blowups and moduli spaces - Carolina Araujo

Seminario di Geometria Algebrica

Dettagli dell'evento


dalle 15:30 alle 16:30


Aula 1, DMI

Persona di riferimento

A. Massarenti

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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.

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