English

Szego Kernels and Finite Group Actions

Symplectic Geometry 2007-05-23 v2 Algebraic Geometry

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 GG, 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.

Keywords

Cite

@article{arxiv.math/0106026,
  title  = {Szego Kernels and Finite Group Actions},
  author = {Roberto Paoletti},
  journal= {arXiv preprint arXiv:math/0106026},
  year   = {2007}
}
R2 v1 2026-07-22T16:38:59.634Z