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Complex Differential Geometry

Grant number: 10/02525-5
Support type:Scholarships in Brazil - Master
Effective date (Start): September 01, 2010
Effective date (End): February 29, 2012
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Claudio Gorodski
Grantee:Lucas Kaufmann Sacchetto
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:07/03192-7 - Submanifold geometry and Morse theory in finite and infinite dimensions, AP.TEM


1-Holomorphic functions of several complex variables. 2-Complex manifolds: holomorphic vector bundles; divisors and line bundles. 3-Kahler manifolds: Kahler identities, Hodge theory, Lefschetz theorems. 4-Hermitian vector bundles: Serre duality, connections, characteristic classes. 5- Morse theory and homology of Stein manifolds

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SACCHETTO, Lucas Kaufmann. Foundations of Complex Geometry: geometric, topological and analytic aspects.. 2012. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.

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