Period map for non-compact holomorphically symplectic manifolds
| dc.creator | Kaledin, D. | |
| dc.creator | Verbitsky, M. | |
| dc.date | 2000-05-01 | |
| dc.date | 2000-06-25 | |
| dc.date.accessioned | 2026-07-07T04:34:56Z | |
| dc.date.available | 2026-07-07T04:34:56Z | |
| dc.description | We study the deformations of a holomorphic symplectic manifold $M$, not necessarily compact, over a formal ring. We show (under some additional, but mild, assumptions on $M$) that the coarse deformation space exists and is smooth, finite-dimensional and naturally embedded into $H^2(M)$. For a holomorphic symplectic manifold $M$ which satisfies $H^1(M,{\cal O}_M) = H^2(M,{\cal O}_M)=0$, the coarse moduli of formal deformations is isomorphic to $\Spec\C[[t_1, ..., t_n]]$, where $t_1$, ... $t_n$ are coordinates in $H^2(M)$. This revised version contains one minor improvement: exposition in Subsection 5.1 has been made more detailed and rigourous. | |
| dc.description | LaTeX, 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0005007 | |
| dc.identifier | http://arxiv.org/abs/math/0005007 | |
| dc.identifier | GAFA 12 (2002), no. 6, 1265--1295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59098 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Period map for non-compact holomorphically symplectic manifolds | |
| dc.type | text |