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, Alina ; Oprea, Dragos
Annales de l'Institut Fourier, Tome 64 (2014), p. 2067-2086 / Harvested from Numdam
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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.

Publié le : 2014-01-01
DOI : https://doi.org/10.5802/aif.2904
Classification:  14J60,  14J28,  14J15
Mots clés: surface K3, espace de modules des faisceaux, dualité étrange 
@article{AIF_2014__64_5_2067_0,
     author = {Marian, Alina and Oprea, Dragos},
     title = {On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors},
     journal = {Annales de l'Institut Fourier},
     volume = {64},
     year = {2014},
     pages = {2067-2086},
     doi = {10.5802/aif.2904},
     zbl = {06387331},
     mrnumber = {3330931},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2014__64_5_2067_0}
}

Marian, Alina; Oprea, Dragos. On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors. Annales de l'Institut Fourier, Tome 64 (2014) pp. 2067-2086. doi : 10.5802/aif.2904. http://gdmltest.u-ga.fr/item/AIF_2014__64_5_2067_0/

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