CORDIS Project
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This project explores the geometry of complex manifolds and their deformations, focusing on the relationships between compact complex manifolds, foliations, and their Kuranishi spaces. The research aims to deepen understanding of these mathematical structures and their applications in complex geometry.
My proposal is to investigate some new aspects of the geometry of complex manifolds, foliations by complex leaves and their deformations.
Emphasis is put on the relations between these three themes.The basic objects of complex geometry are compact complex manifolds.
However, only very special classes are well understood.
And the only theory which applies to the general case is Kodaira-Spencer theory of deformations.
To each structure of a compact complex manifold it associates a finite-dimension…
Consorci Centre de Recerca Matematica
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