On vector bundles over reducible curves with a node
Abstract: Let C be a curve with two smooth components and a single node, and let C (w, r, χ) be the moduli space of w-semistable classes of depth one sheaves on C having rank r on both components and Euler characteristic χ. In this paper, under suitable assumptions,we produce a projective bundle over the product of the moduli spaces of semistable vector bundles of rank r on each component and we show that it is birational to an irreducible component of C (w, r, χ). Then we prove the rationality of the closed subset containing vector bundles with given fixed determinant.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On vector bundles over reducible curves with a node ; volume:21 ; number:3 ; year:2021 ; pages:299-312 ; extent:14
Advances in geometry ; 21, Heft 3 (2021), 299-312 (gesamt 14)
- Creator
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Favale, Filippo F.
Brivio, Sonia
- DOI
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10.1515/advgeom-2020-0010
- URN
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urn:nbn:de:101:1-2022091514424258674769
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:26 AM CEST
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Associated
- Favale, Filippo F.
- Brivio, Sonia
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