caa a22 4500 44586253X CHVBK 20180317145447.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00031-011-9153-6 doi (NATIONALLICENCE)springer-10.1007/s00031-011-9153-6 Becker Tanja Institut für Mathematik, Johannes Gutenberg-Universität, Staudingerweg 9, 55099, Mainz, Germany aut An example of an SL2-Hilbert scheme with multiplicities [Elektronische Daten] [Tanja Becker] In [AB05], Alexeev and Brion have introduced the notion of invariant Hilbert schemes. We determine the invariant Hilbert scheme of the zero fibre of the moment map of an action of SL2 on $ {\left( {{\mathbb{C}^2}} \right)^{ \oplus 6}} $ as one of the first examples of invariant Hilbert schemes with multiplicities. While doing this, we present a general procedure for realizing these calculations. 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. Springer Science+Business Media, LLC, 2011 Transformation Groups SP Birkhäuser Verlag Boston 16/4(2011-12-01), 915-938 1083-4362 16:4<915 2011 16 31 https://doi.org/10.1007/s00031-011-9153-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00031-011-9153-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Becker Tanja Institut für Mathematik, Johannes Gutenberg-Universität, Staudingerweg 9, 55099, Mainz, Germany aut NATIONALLICENCE 773 0- Transformation Groups SP Birkhäuser Verlag Boston 16/4(2011-12-01), 915-938 1083-4362 16:4<915 2011 16 31 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer