KAHLER MANIFOLDS

Several problems on Kahler manifolds

Coordinatore	INSTITUTUL DE MATEMATICA AL ACADEMI EI ROMANE INSTITUTE OF MATHEMATICS SIMION STOILOW OF THE ROMANIAN ACA DEMY    more  Organization address address: Calea Grivitei 21 city: BUCUREST postcode: 10702 contact info Titolo: Dr. Nome: Lucian Cognome: Beznea Email: send email Telefono: +40213196506 Ext 102 Fax: 40213196505
Nazionalità Coordinatore	Romania [RO]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2007-4-3-IRG
Funding Scheme	MC-IRG
Anno di inizio	2007
Periodo (anno-mese-giorno)	2007-10-01   -   2011-09-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	INSTITUTUL DE MATEMATICA AL ACADEMI EI ROMANE INSTITUTE OF MATHEMATICS SIMION STOILOW OF THE ROMANIAN ACA DEMY  Organization address address: Calea Grivitei 21 city: BUCUREST postcode: 10702 contact info Titolo: Dr. Nome: Lucian Cognome: Beznea Email: send email Telefono: +40213196506 Ext 102 Fax: 40213196505	RO (BUCUREST)	coordinator	0.00

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 Obiettivo del progetto (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.'