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Stratification of the
moduli space of vector bundles
Montserrat Teixidor i Bigas |
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Vol. 332 (2024), No. 2, 385–393
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Abstract |
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We show that on a generic curve, a bundle obtained by generic successive extensions is stable, so long as the slopes satisfy natural conditions. We compute the dimension of the set of such extensions. We use degeneration methods specializing the curve to a chain of elliptic components. This extends our previous work (1998, 2000). |
Keywords
vector bundle, algebraic curve, extensions
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Mathematical Subject Classification
Primary: 14H60
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Milestones
Received: 8 January 2023
Revised: 21 May 2024
Accepted: 2 November 2024
Published: 6 December 2024
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Authors |
| Montserrat Teixidor i Bigas | |
| Department of Mathematics Tufts University Medford, MA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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