Remarks on level-one conformal blocks divisors

Mukhopadhyay, Swarnava

doi:10.1016/j.crma.2014.01.003

Lie algebras/Algebraic geometry

Remarks on level-one conformal blocks divisors
[Remarques sur les diviseurs associés aux blocs conformes de niveau un]

Présenté par : Claire Voisin

Mukhopadhyay, Swarnava ¹

¹ Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 179-182.

Résumé
Abstract

Nous montrons que les diviseurs des blocs conformes de type $B_{r}$ et $C_{r}$ en niveau un sont des sommes effectives de diviseurs de bord de ${\bar{M}}_{0, n}$ . Nous démontrons également que le diviseur des blocs conformes de type $B_{r}$ en niveau 1, et avec poids $(ω_{1}, \dots, ω_{1})$ , croît linéairement avec le niveau.

We show that conformal blocks divisors of type $B_{r}$ and $D_{r}$ at level one are effective sums of boundary divisors of ${\bar{M}}_{0, n}$ . We also prove that the conformal blocks divisor of type $B_{r}$ at level one with weights $(ω_{1}, \dots, ω_{1})$ scales linearly with the level.

Reçu le : 2013-10-24
Accepté le : 2014-01-09
Publié le : 2014-02-03

DOI : 10.1016/j.crma.2014.01.003

Affiliations des auteurs :

Mukhopadhyay, Swarnava ¹

¹ Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

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Mukhopadhyay, Swarnava. Remarks on level-one conformal blocks divisors. Comptes Rendus. Mathématique, Tome 352 (2014) no. 3, pp. 179-182. doi : 10.1016/j.crma.2014.01.003. http://www.numdam.org/articles/10.1016/j.crma.2014.01.003/

Bibliographie
Cité par

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