Cesar Torres Huerta - Profile on Academia.edu (original) (raw)

Cesar Torres Huerta

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Papers by Cesar Torres Huerta

Research paper thumbnail of Birational Geometry of the Space of Complete Quadrics

International Mathematics Research Notices, 2015

We study the birational geometry of the moduli space of complete n-quadrics X. We exhibit generat... more We study the birational geometry of the moduli space of complete n-quadrics X. We exhibit generators for Eff(X) and Nef(X), the cone of effective divisors and the cone of nef divisors, respectively. As a corollary, we show that X is a Fano variety. Furthermore, we run the Minimal Model Program on X and find a moduli interpretation for the models induced by the generators of the nef cone. In the case of complete quadric surfaces, we describe all the birational models of X induced by the movable cone and find a moduli interpretation for some of these models.

Research paper thumbnail of Birational Geometry of the Space of Complete Quadrics

International Mathematics Research Notices, 2015

We study the birational geometry of the moduli space of complete n-quadrics X. We exhibit generat... more We study the birational geometry of the moduli space of complete n-quadrics X. We exhibit generators for Eff(X) and Nef(X), the cone of effective divisors and the cone of nef divisors, respectively. As a corollary, we show that X is a Fano variety. Furthermore, we run the Minimal Model Program on X and find a moduli interpretation for the models induced by the generators of the nef cone. In the case of complete quadric surfaces, we describe all the birational models of X induced by the movable cone and find a moduli interpretation for some of these models.

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