On the Existence of Symplectic Resolutions of Symplectic Reductions
Algebraic Geometry
2009-08-26 v2
Abstract
We compute the symplectic reductions for the action of Sp_2n on several copies of C^2n and for all coregular representations of Sl_2. If it exists we give at least one symplectic resolution for each example. In the case Sl_2 acting on sl_2+C^2 we obtain an explicit description of Fu's and Namikawa's example of two non-equivalent symplectic resolutions connected by a Mukai flop.
Keywords
Cite
@article{arxiv.0807.3476,
title = {On the Existence of Symplectic Resolutions of Symplectic Reductions},
author = {Tanja Becker},
journal= {arXiv preprint arXiv:0807.3476},
year = {2009}
}
Comments
Some minor corrections, to be published in Mathematische Zeitschrift, 19 pages