[Faisceaux de Verlinde et dualité étrange pour les diviseurs de Noether-Lefschetz elliptiques]
On établit l’isomorphisme de dualité étrange pour toutes les surfaces constituant un diviseur de Noether-Lefschetz dans l’espace de modules de surfaces 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 polarisées.
We extend results on generic strange duality for surfaces by showing that the proposed isomorphism holds over an entire Noether-Lefschetz divisor in the moduli space of quasipolarized s. We interpret the statement globally as an isomorphism of sheaves over this divisor, and also describe the global construction over the space of polarized .
Keywords: $K$3 surface, moduli space of sheaves, strange duality
Mot clés : surface $K$3, 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},
pages = {2067--2086},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {64},
number = {5},
year = {2014},
doi = {10.5802/aif.2904},
zbl = {06387331},
mrnumber = {3330931},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2904/}
}
TY - JOUR AU - Marian, Alina AU - Oprea, Dragos TI - On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors JO - Annales de l'Institut Fourier PY - 2014 SP - 2067 EP - 2086 VL - 64 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2904/ DO - 10.5802/aif.2904 LA - en ID - AIF_2014__64_5_2067_0 ER -
%0 Journal Article %A Marian, Alina %A Oprea, Dragos %T On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors %J Annales de l'Institut Fourier %D 2014 %P 2067-2086 %V 64 %N 5 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2904/ %R 10.5802/aif.2904 %G en %F 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) no. 5, pp. 2067-2086. doi : 10.5802/aif.2904. http://www.numdam.org/articles/10.5802/aif.2904/
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