Symmetries of holomorphic geometric structures on tori
| dc.contributor.author | Dumitrescu, Sorin | |
| dc.contributor.author | McKay, Benjamin | |
| dc.date.accessioned | 2018-07-30T12:30:36Z | |
| dc.date.available | 2018-07-30T12:30:36Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures. | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Published Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Dumitrescu, S. and McKay, B. (2016). 'Symmetries of holomorphic geometric structures on tori', Complex Manifolds, 3(1), pp. 1-15. doi: 10.1515/coma-2016-0001 | en |
| dc.identifier.doi | 10.1515/coma-2016-0001 | |
| dc.identifier.endpage | 15 | |
| dc.identifier.issn | 2300-7443 | |
| dc.identifier.issued | 1 | |
| dc.identifier.journaltitle | Complex Manifolds | en |
| dc.identifier.startpage | 1 | |
| dc.identifier.uri | https://hdl.handle.net/10468/6546 | |
| dc.identifier.volume | 3 | |
| dc.language.iso | en | en |
| dc.publisher | De Gruyter Open | en |
| dc.relation.uri | https://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0001/coma-2016-0001.xml | |
| dc.rights | © 2016, Sorin Dumitrescu and Benjamin McKay. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ | |
| dc.subject | Locally homogeneous structures | en |
| dc.subject | Complex tori | en |
| dc.title | Symmetries of holomorphic geometric structures on tori | en |
| dc.type | Article (peer-reviewed) | en |
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