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...
Gespeichert in:
Veröffentlicht in: | arXiv.org 2024-09 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
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 |