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research article
Prym varieties of spectral covers
2012
Given a possibly reducible and non-reduced spectral cover pi: X -> C over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SLn-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder-Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SLn stable bundle moduli space.
Type
research article
Web of Science ID
WOS:000308350200008
Authors
Publication date
2012
Publisher
Published in
Volume
16
Issue
3
Start page
1609
End page
1638
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 27, 2013
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