CORDIS Project
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This project focuses on classifying complex geometrical structures, specifically contact Fano manifolds and quaternion-Kahler manifolds with positive scalar curvature. It aims to explore their differential and algebraic properties, particularly through the study of minimal rational curves and smooth varieties.
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 compl…
UNIVERSITE JOSEPH FOURIER GRENOBLE 1
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