A Fourier-Mukai approach to spectral data for instantons
Jardim, Marcos ; Maciocia, Antony
arXiv, 0006054 / Harvested from arXiv
Text on arXiv
We study U(r) instantons on elliptic surfaces with a section and show that they are in one-one correspondence with spectral data consisting of a curve in the dual elliptic surface and a line bundle on that curve. We use relative Fourier-Mukai transforms to analyse their properties and, in the case of the K3 and abelian surfaces, we show that the moduli space of instantons has a natural Lagrangian fibration with respect to the canonical complex symplectic structure.
Publié le : 2000-06-07
Classification:  Mathematics - Algebraic Geometry,  Mathematical Physics 
@article{0006054,
     author = {Jardim, Marcos and Maciocia, Antony},
     title = {A Fourier-Mukai approach to spectral data for instantons},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006054}
}

Jardim, Marcos; Maciocia, Antony. A Fourier-Mukai approach to spectral data for instantons. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006054/