Cohomological constraint to deformations of compact Kaehler manifolds
| dc.creator | Manetti, Marco | |
| dc.date | 2001-05-22 | |
| dc.date | 2002-04-11 | |
| dc.date.accessioned | 2026-07-07T06:29:13Z | |
| dc.date.available | 2026-07-07T06:29:13Z | |
| dc.description | We prove that for every compact Kähler manifold $X$ there exists an $L$-infinity morphism, lifting the usual cup product in cohomology, from the Kodaira-Spencer differential graded Lie algebra to the suspension of the space of linear endomorphisms of the singular cohomology of $X$. As a consequence we get an algebraic proof of the principle ``obstructions to deformations of compact Kaehler manifolds annihilate ambient cohomology''. | |
| dc.description | Latex-10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0105175 | |
| dc.identifier | http://arxiv.org/abs/math/0105175 | |
| dc.identifier | Adv. Math. 186 (2004) 125-142. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97954 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32G05 | |
| dc.title | Cohomological constraint to deformations of compact Kaehler manifolds | |
| dc.type | text |