Projectivity of analytic Hilbert and Kaehler quotients
Algebraic Geometry
2011-04-13 v2 Symplectic Geometry
Abstract
We investigate algebraicity properties of quotients of complex spaces by complex reductive Lie groups G. We obtain a projectivity result for compact momentum map quotients of algebraic G-varieties. Furthermore, we prove equivariant versions of Kodaira's Embedding Theorem and Chow's Theorem relative to an analytic Hilbert quotient. Combining these results we derive an equivariant algebraisation theorem for complex spaces with projective quotient.
Keywords
Cite
@article{arxiv.0805.3973,
title = {Projectivity of analytic Hilbert and Kaehler quotients},
author = {Daniel Greb},
journal= {arXiv preprint arXiv:0805.3973},
year = {2011}
}
Comments
minor changes: title change, typos corrected, obvious issue in the statement of Thm. 3 fixed, revised proof of Prop. 6.6; 25 pages; to appear in Transactions of the AMS