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Several problems on Kahler manifolds

Objective

Our project focuses on three problems on Kahler manifolds. The first problem deals with the deformation of Kahler manifolds. Given an analytic family of compact complex manifolds, we want to prove that the non-Kahler locus is a countable union of analytic subsets of the base. The second problem is the well-known conjecture of Hartshorne. It states that in a Kahler manifold, two subvarieties of complementary dimensions and with ample normal bundles have non-empty intersection. The third problem says that on a Fano manifold, the space of rational curves is a topological approximation to the space of all continuous maps. We describe possible approaches to these three problems.

Call for proposal

FP7-PEOPLE-2007-4-3-IRG
See other projects for this call

Funding Scheme

MC-IRG - International Re-integration Grants (IRG)

Coordinator

INSTITUTUL DE MATEMATICA AL ACADEMI EI ROMANE INSTITUTE OF MATHEMATICS SIMION STOILOW OF THE ROMANIAN ACA DEMY
Address
Calea Grivitei 21
010702 Bucurest
Romania
Activity type
Research Organisations
EU contribution
€ 100 000
Administrative Contact
Lucian Beznea (Dr.)