Finite generation of the algebra of type A conformal blocks via birational geometry

Han-Bom Moon; Sang-Bum Yoo

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arXiv · 1709.00519

Finite generation of the algebra of type A conformal blocks via birational geometry

Han-Bom Moon·Sang-Bum Yoo

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Abstract

We study birational geometry of the moduli space of parabolic bundles over a projective line, in the framework of Mori's program. We show that the moduli space is a Mori dream space. As a consequence, we obtain the finite generation of the algebra of type A conformal blocks. Furthermore, we compute the H-representation of the effective cone which was previously obtained by Belkale. For each big divisor, the associated birational model is described in terms of moduli space of parabolic bundles.

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BibTeX RIS

Han-Bom Moon, Sang-Bum Yoo. 2017-09-02. Finite generation of the algebra of type A conformal blocks via birational geometry. https://arxiv.org/abs/1709.00519

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