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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Szegö kernels and finite group actions


Author: Roberto Paoletti
Journal: Trans. Amer. Math. Soc. 356 (2004), 3069-3076
MSC (2000): Primary 14A10, 53D50, 57S17
Published electronically: November 4, 2003
MathSciNet review: 2052941
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Abstract: In the context of almost complex quantization, a natural generalization of algebro-geometric linear series on a compact symplectic manifold has been proposed. Here we suppose given a compatible action of a finite group and consider the linear subseries associated to the irreducible representations of $G$, give conditions under which these are base-point-free and study properties of the associated projective morphisms. The results obtained are new even in the complex projective case.


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Additional Information

Roberto Paoletti
Affiliation: Dipartimento di Matematica e Applicazioni, Universitá di Milano Bicocca, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy
Email: roberto.paoletti@unimib.it

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03490-1
PII: S 0002-9947(03)03490-1
Received by editor(s): January 10, 2003
Published electronically: November 4, 2003
Article copyright: © Copyright 2003 American Mathematical Society