A Gieseker type degeneration of moduli stacks of vector bundles on curves

Kausz, Ivan (2005) A Gieseker type degeneration of moduli stacks of vector bundles on curves. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 357 (12). pp. 4897-4955. ISSN 0002-9947, 1088-6850

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Abstract

We construct a new degeneration of the moduli stack of vector bundles over a smooth curve when the curve degenerates to a singular curve which is irreducible with one double point. We prove that the total space of the degeneration is smooth and its special fibre is a divisor with normal crossings. Furthermore, we give a precise description of how the normalization of the special fibre of the degeneration is related to the moduli space of vector bundles over the desingularized curve.

Item Type: Article
Uncontrolled Keywords: GENERALIZED THETA-FUNCTIONS; SPACES; LEMMA;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Jun 2021 08:04
Last Modified: 21 Jun 2021 08:04
URI: https://pred.uni-regensburg.de/id/eprint/36835

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