Cesar Torres Huerta - Academia.edu (original) (raw)
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Papers by Cesar Torres Huerta
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.
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.