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arXiv · 1810.13136

Finite generation of the algebra of type A conformal blocks via birational geometry II: higher genus

Han-Bom Moon·Sang-Bum Yoo
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Abstract

We prove finite generation of the algebra of type A conformal blocks over arbitrary stable curves of any genus. As an application we construct a flat family of irreducible normal projective varieties over the moduli stack of stable pointed curves, whose fiber over a smooth curve is a moduli space of semistable parabolic bundles. This generalizes a construction of a degeneration of the moduli space of vector bundles presented in a recent work of Belkale and Gibney.

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Han-Bom Moon, Sang-Bum Yoo. 2018-10-31. Finite generation of the algebra of type A conformal blocks via birational geometry II: higher genus. https://doi.org/10.1112/plms.12296

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