Brill-Noether Sheaves
Abstract
Description
We construct a $\bar Q_l$-linear Tannakian category attached to a smooth projective curve C equivalent to the category of finite dimensional $\bar Q_l$-representations Rep(G), where G is $Sp(2g-2,\bar Q_l)$ or $Sl(2g-2,\bar Q_l)$ depending on whether C is hyperelliptic or not.
version2: typos added, remarks added, new section 7.8 added version3: completes proof of theorem 11 (in the hyperelliptic case)
version2: typos added, remarks added, new section 7.8 added version3: completes proof of theorem 11 (in the hyperelliptic case)