no. 5
On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors
[Faisceaux de Verlinde et dualité étrange pour les diviseurs de Noether-Lefschetz elliptiques]
Marian, Alina1 ; Oprea, Dragos2
1 Northeastern University Department of Mathematics 567 Lake Hall Boston, MA 02115 (USA)
2 University of California Department of Mathematics 9500 Gilman Drive ♯ 0112 La Jolla, CA 92093-0112 (USA)
Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2067-2086.

On établit l’isomorphisme de dualité étrange pour toutes les surfaces K3 constituant un diviseur de Noether-Lefschetz dans l’espace de modules de surfaces K3 quasipolarisées. On interprète le résultat d’une manière globale, comme un isomorphisme de faisceaux à travers ce diviseur, et on décrit aussi la construction globale sur l’espace de modules des surfaces K3s polarisées.

We extend results on generic strange duality for K3 surfaces by showing that the proposed isomorphism holds over an entire Noether-Lefschetz divisor in the moduli space of quasipolarized K3s. We interpret the statement globally as an isomorphism of sheaves over this divisor, and also describe the global construction over the space of polarized K3s.

DOI : 10.5802/aif.2904
Classification : 14J60, 14J28, 14J15
Keywords: $K$3 surface, moduli space of sheaves, strange duality
Mot clés : surface $K$3, espace de modules des faisceaux, dualité étrange

Marian, Alina 1 ; Oprea, Dragos 2

1 Northeastern University Department of Mathematics 567 Lake Hall Boston, MA 02115 (USA)
2 University of California Department of Mathematics 9500 Gilman Drive ♯ 0112 La Jolla, CA 92093-0112 (USA) 
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     journal = {Annales de l'Institut Fourier},
     pages = {2067--2086},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Marian, Alina; Oprea, Dragos. On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors. Annales de l'Institut Fourier, Tome 64 (2014) no. 5, pp. 2067-2086. doi : 10.5802/aif.2904. https://aif.centre-mersenne.org/articles/10.5802/aif.2904/

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