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On the Motive of Moduli Spaces of Rank Two Vector Bundles over a Curve

Published online by Cambridge University Press:  04 December 2007

Sebastian del Baño
Sebastian del Baño
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
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Abstract

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We study the motive of the moduli spaces of rank two vector bundles on a curve. In the smooth case we obtain the Hodge numbers, intermediate Jacobians and number of points over a finite field as corollaries. In the singular case our computations yield the Poincaré–Hodge polynomial of Seshadri's smooth model.

Keywords

motivesmoduli space
Type
Research Article
Information
Compositio Mathematica , Volume 131 , Issue 1 , March 2002 , pp. 1 - 30
Copyright
© 2002 Kluwer Academic Publishers