Actions of compact groups on coherent sheaves
Complex Variables
2007-05-23 v1 Algebraic Geometry
Abstract
Let K be a compact Lie group and G its complexification. For a not necessarily reduced Stein K-space X we show that there is a complex space Z endowed with a holomorphic action of the universal complexification G of K that contains X as an open K-stable subset. The correspondence is functorial. As our main result we prove that every coherent K-sheaf on X extends uniquely to a G-sheaf on Z.
Cite
@article{arxiv.math/9805138,
title = {Actions of compact groups on coherent sheaves},
author = {J. Hausen and P. Heinzner},
journal= {arXiv preprint arXiv:math/9805138},
year = {2007}
}
Comments
9 pages, plain tex