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The very good property for parabolic vector bundles over curves

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Abstract

The purpose of this note is to extend Beilinson and Drinfeld’s “very good” property to moduli stacks of parabolic vector bundles on curves of genuses \(g = 0\) and \(g = 1\). Beilinson and Drinfeld show that for \(g > 1\) a trivial parabolic structure is sufficient for the moduli stacks to be “very good.” We give a sufficient condition on the parabolic structure for this property to hold in the case of nontrivial parabolic structure.

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  1. Department of Mathematics, USC Dornsife, 3620 S. Vermont Ave., KAP 104, Los Angeles, CA, 90089-2532, USA

    Alexander Soibelman

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  1. Alexander Soibelman
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Correspondence to Alexander Soibelman.

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Soibelman, A. The very good property for parabolic vector bundles over curves. Lett Math Phys 108, 1551–1561 (2018). https://doi.org/10.1007/s11005-018-1046-3

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  • DOI: https://doi.org/10.1007/s11005-018-1046-3

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