On the Existence of Symplectic Resolutions of Symplectic Reductions

Details On the Existence of Symplectic Resolutions of Symplectic Reductions On the Existence of Symplectic Resolutions of Symplectic Reductions

2008-07-22

arxiv.org/abs/0807.3476v2

Mathematics

Algebraic Geometry

Some minor corrections, to be published in Mathematische Zeitschrift, 19 pages

Scientific paper

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.

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