Mathematics – Algebraic Geometry
Scientific paper
2006-10-30
Mathematics
Algebraic Geometry
version2: typos added, remarks added, new section 7.8 added version3: completes proof of theorem 11 (in the hyperelliptic case
Scientific paper
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.
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