Infinitesimal deformations of some quot schemes, II

Let \(C\) be an irreducible smooth complex projective curve of genus \(g\), with \(g_C \geqslant 2\). Let \(E\) be a vector bundle on \(C\) of rank \(r\), with \(r\geqslant 2\). Let \(\mc Q:=\mc Q(E,\,d)\) be the Quot Scheme parameterizing torsion quotients of \(E\) of degree \(d\). We explicitly de...

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Veröffentlicht in:arXiv.org 2024-09
Hauptverfasser: Biswas, Indranil, Gangopadhyay, Chandranandan, Sebastian, Ronnie
Format: Artikel
Sprache:eng
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Zusammenfassung:Let \(C\) be an irreducible smooth complex projective curve of genus \(g\), with \(g_C \geqslant 2\). Let \(E\) be a vector bundle on \(C\) of rank \(r\), with \(r\geqslant 2\). Let \(\mc Q:=\mc Q(E,\,d)\) be the Quot Scheme parameterizing torsion quotients of \(E\) of degree \(d\). We explicitly describe all deformations of \(\mc Q\).
ISSN:2331-8422