Personal tools
You are here: Home Publications An example of an Sl_2-Hilbert scheme with multiplicities

An example of an Sl_2-Hilbert scheme with multiplicities

Tanja Becker

Number 9
Author Tanja Becker
Year 2010

We determine the invariant Hilbert scheme of the zero fibre of the moment map of an action of Sl_2 on (C^2)^6 as one of the first examples of invariant Hilbert schemes with multiplicities. While doing this, we present a general procedure how to realise the calculation of invariant Hilbert schemes, which have been introduced by Alexeev and Brion. We also consider questions of smoothness and connectedness and thereby show that our Hilbert scheme gives a resolution of singularities of the symplectic reduction of the action.

More information about this publication…

Document Actions
« May 2023 »
May
MoTuWeThFrSaSu
1234567
891011121314
15161718192021
22232425262728
293031