Comptes Rendus
no. 11
Algebraic geometry
A symplectic analog of the Quot scheme
[Un analogue symplectique du schéma Quot]

Présenté par : Claire Voisin

Indranil Biswas1 ; Ajneet Dhillon2 ; Jacques Hurtubise3 ; Richard A. Wentworth4
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.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.09.006
Mots clés : Symplectic Quot scheme, Automorphism, Symmetric product
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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     pages = {995--999},
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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/

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[5] I. Biswas; A. Dhillon; J. Hurtubise Automorphisms of the Quot schemes associated to compact Riemann surfaces, Int. Math. Res. Not., Volume 2015 (2015), pp. 1445-1460

[6] N. Fakhruddin Torelli's theorem for high degree symmetric products of curves | arXiv

[7] F. Ghione; M. Letizia Effective divisors of higher rank on a curve and the Siegel formula, Compos. Math., Volume 83 (1992), pp. 147-159

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