Stratification of the moduli space of vector bundles

We show that on a generic curve, a bundle obtained by successive extensions is stable.We compute the dimension of the set of such extensions.We use degeneration methods specializing the curve to a chain of elliptic components

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Publication Details

Journal
Pacific Journal of Mathematics
Published
2024-12-06
DOI
https://doi.org/10.2140/pjm.2024.332.385
Citations
1
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
1.01
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article

Stratification of the moduli space of vector bundles

Montserrat Teixidor i Bigas
1 citations
Pacific Journal of Mathematics
Algebraic Geometry and Number Theory
1.01
article

Stratification of the moduli space of vector bundles

Montserrat Teixidor i Bigas
article en
1 citations

Abstract

We show that on a generic curve, a bundle obtained by successive extensions is stable.We compute the dimension of the set of such extensions.We use degeneration methods specializing the curve to a chain of elliptic components

Pacific Journal of MathematicsVol. 332(2)
Tufts University (US)
Openalex Percentile: Top 21%
Algebraic Geometry and Number Theory
1.01
DOIOpen Access PDFOpenAlex
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Stratification of the moduli space of vector bundles — Montserrat Teixidor i Bigas · Pacific Journal of Mathematics (2024) | TGRS Research Map | TGRS