Abelian simply transitive affine groups of symplectic type
| dc.creator | Baues, Oliver | |
| dc.creator | Cortes, Vicente | |
| dc.date | 2001-05-03 | |
| dc.date | 2002-11-28 | |
| dc.date.accessioned | 2026-07-07T04:41:35Z | |
| dc.date.available | 2026-07-07T04:41:35Z | |
| dc.description | We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$. The model is stratified and its principal stratum is a Zariski-open subbundle of a natural vector bundle over the Grassmannian of Lagrangian subspaces in $\bR^{2n}$. \noindent Next we show that every flat special Kähler manifold may be constructed locally from a holomorphic function whose third derivatives satisfy some algebraic constraint. In particular global models for flat special Kähler manifolds with constant cubic form correspond to a subvariety of $C(\gsp(\bR^{2n}))$. | |
| dc.description | corrected typos, updated references | |
| dc.identifier | https://arxiv.org/abs/math/0105025 | |
| dc.identifier | http://arxiv.org/abs/math/0105025 | |
| dc.identifier | Annales Inst.Fourier 52 (2002) 1729-1751 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61417 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 22E25, 22E45, 53C26 | |
| dc.title | Abelian simply transitive affine groups of symplectic type | |
| dc.type | text |