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Decomposing representations of finite groups on Riemann-Roch spaces
Author(s):
David
Joyner;
Amy
Ksir
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3465-3476.
MSC (2000):
Primary 14H37
Posted:
July 27, 2007
MathSciNet review:
2336559
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Additional information
Abstract:
If  is a finite subgroup of the automorphism group of a projective curve  and  is a divisor on  stabilized by  , then we compute a simplified formula for the trace of the natural representation of  on the Riemann-Roch space  , under the assumption that  is ``rational'',  is nonspecial, and the characteristic is ``good''. We discuss the partial formulas that result if  is not rational.
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Additional Information:
David
Joyner
Affiliation:
Mathematics Department, United States Naval Academy, Annapolis, Maryland 21402
Email:
wdj@usna.edu
Amy
Ksir
Affiliation:
Mathematics Department, United States Naval Academy, Annapolis, Maryland 21402
Email:
ksir@usna.edu
DOI:
10.1090/S0002-9939-07-08967-8
PII:
S 0002-9939(07)08967-8
Received by editor(s):
February 10, 2004
Received by editor(s) in revised form:
August 21, 2006
Posted:
July 27, 2007
Additional Notes:
The first author was supported in part by an NSA-MSP grant.
The second author was supported in part by a USNA-NARC grant.
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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