dc.identifier.uri |
http://dx.doi.org/10.15488/4159 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/4193 |
|
dc.contributor.author |
Crooks, Peter
|
|
dc.date.accessioned |
2018-12-14T13:53:44Z |
|
dc.date.available |
2018-12-14T13:53:44Z |
|
dc.date.issued |
2018 |
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dc.identifier.citation |
Crooks, P.: An equivariant description of certain holomorphic symplectic varieties. In: Bulletin of the Australian Mathematical Society (2018), S. 207-214. DOI: https://doi.org/10.1017/S0004972717001095 |
|
dc.description.abstract |
Varieties of the form G×Sreg, where G is a complex semisimple group and Sreg is a regular Slodowy slice in the Lie algebra of G, arise naturally in hyperkähler geometry, theoretical physics and the theory of abstract integrable systems. Crooks and Rayan [‘Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices’, Math. Res. Let., to appear] use a Hamiltonian G-action to endow G×Sreg with a canonical abstract integrable system. To understand examples of abstract integrable systems arising from Hamiltonian G-actions, we consider a holomorphic symplectic variety X carrying an abstract integrable system induced by a Hamiltonian G-action. Under certain hypotheses, we show that there must exist a G-equivariant variety isomorphism X≅G×Sreg. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Cambridge : Cambridge University Press |
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dc.relation.ispartofseries |
Bulletin of the Australian Mathematical Society (2018) |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
equivariant geometry |
eng |
dc.subject |
holomorphic symplectic geometry |
eng |
dc.subject |
Lie theory |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
An equivariant description of certain holomorphic symplectic varieties |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
00049727 |
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dc.relation.doi |
https://doi.org/10.1017/S0004972717001095 |
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dc.bibliographicCitation.firstPage |
207 |
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dc.bibliographicCitation.lastPage |
214 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|