Infinitesimal Variation of Harmonic Forms and Lefschetz Decomposition
| dc.creator | Huybrechts, Daniel | |
| dc.date | 2001-02-15 | |
| dc.date | 2001-04-27 | |
| dc.date.accessioned | 2026-07-07T04:40:11Z | |
| dc.date.available | 2026-07-07T04:40:11Z | |
| dc.description | This paper studies the infinitesimal variation of the Lefschetz decomposition associated with a compatible sl_2-representation on a graded algebra. This allows to prove that the Jordan-Lefschetz property holds infinitesimally for the Kaehler Lie algebra (introduced by Looijenga and Lunts) of any compact Kaehler manifold. As a second application we describe how the space of harmonic forms changes when a Ricci-flat Kaehler form is deformed infinitesimally. | |
| dc.description | Revised version: Lemma in Sect. 3 corrected, typos corrected, Corollary in Sect. 4 added | |
| dc.identifier | https://arxiv.org/abs/math/0102116 | |
| dc.identifier | http://arxiv.org/abs/math/0102116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60946 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Infinitesimal Variation of Harmonic Forms and Lefschetz Decomposition | |
| dc.type | text |