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Orthogonal and spin bundles over hyperelliptic curves. (English) Zbl 0541.14012
Let $${\mathcal P}$$ be a generic pencil of quadrics determined by two quadrics $$Q_ 1$$, $$Q_ 2$$ of $${\mathbb{P}}^{2g+1}$$. To $${\mathcal P}$$ is (classically) associated a hyperelliptic curve X of genus g. Let $$M_ d$$ be the space of d-dimensional vector subspaces isotropic for both $$Q_ 1$$, $$Q_ 2$$. The author presents (natural quotients of) the spaces $$M_ d$$ as moduli spaces for some classes of orthogonal and spin vector bundles on X.
Reviewer: J.Brun

##### MSC:
 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 14D20 Algebraic moduli problems, moduli of vector bundles 14H10 Families, moduli of curves (algebraic)
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##### References:
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