A symplectic analog of the Quot scheme

Indranil Biswas; Ajneet Dhillon; Jacques Hurtubise; Richard A. Wentworth

doi:10.1016/j.crma.2015.09.006

Algebraic geometry

A symplectic analog of the Quot scheme

Presented by: Claire Voisin

Indranil Biswas ¹; Ajneet Dhillon ²; Jacques Hurtubise ³; Richard A. Wentworth ⁴

¹ School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
² Department of Mathematics, Middlesex College, University of Western Ontario, London, ON N6A 5B7, Canada
³ Department of Mathematics, McGill University, Burnside Hall, 805 Sherbrooke St. W., Montreal, QC H3A 0B9, Canada
⁴ Department of Mathematics, University of Maryland, College Park, MD 20742, USA

Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 995-999.

Abstract
Résumé

We construct a symplectic analog of the Quot scheme that parameterizes the torsion quotients of a trivial vector bundle over a compact Riemann surface. Some of its properties are investigated.

Nous construisons un analogue symplectique du schéma Quot, qui paramètre les modules quotients de torsion d'un fibré vectoriel trivial sur une surface de Riemann compacte, et nous examinons certaines de ses propriétés.

Received: 2015-06-16
Accepted: 2015-09-11
Published online: 2015-10-20

DOI: 10.1016/j.crma.2015.09.006

Keywords: Symplectic Quot scheme, Automorphism, Symmetric product

Author's affiliations:

Indranil Biswas ¹; Ajneet Dhillon ²; Jacques Hurtubise ³; Richard A. Wentworth ⁴

¹ School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India
² Department of Mathematics, Middlesex College, University of Western Ontario, London, ON N6A 5B7, Canada
³ Department of Mathematics, McGill University, Burnside Hall, 805 Sherbrooke St. W., Montreal, QC H3A 0B9, Canada
⁴ Department of Mathematics, University of Maryland, College Park, MD 20742, USA

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     title = {A symplectic analog of the {Quot} scheme},
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Indranil Biswas; Ajneet Dhillon; Jacques Hurtubise; Richard A. Wentworth. A symplectic analog of the Quot scheme. Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 995-999. doi : 10.1016/j.crma.2015.09.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.006/

References
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