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Complex Projective Contact Manifolds

Objetivo

In our project we are interested in the classification of complex projective contact Fano manifolds and of quaternion-Kahler manifolds with positive scalar curvature. Also we want to classify smooth subvarieties of projective space whose dual is also smooth. We divide these problems into the following four objectives: 1) to expand the dictionary between the differential geometric properties of quaternion-Kahler manifolds with positive scalar curvature and algebro-geometric properties of complex contact Fano manifolds; 2) to determine properties of minimal rational curves on contact Fano manifolds and the Legendrian subvarieties determined by these curves; 3) to use the results of 1) and 2) to make progress in establishing or disproving the conjecture of LeBrun and Salamon - we will approach the conjecture from both the differential and algebraic perspectives. 4) to classify smooth varieties whose dual is also smooth via Legendrian varieties.

Ámbito científico (EuroSciVoc)

Este proyecto aún no se ha clasificado con EuroSciVoc.
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Palabras clave

Programa(s)

Tema(s)

Convocatoria de propuestas

FP7-PEOPLE-2007-4-1-IOF
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Régimen de financiación

MC-IOF - International Outgoing Fellowships (IOF)

Coordinador

UNIVERSITE JOSEPH FOURIER GRENOBLE 1
Aportación de la UE
€ 239 138,19
Coste total
Sin datos