Complex Differential Geometry

• Grant number: 10/02525-5
• Support Opportunities: 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 Investigator: Claudio Gorodski
• Grantee: Lucas Kaufmann Sacchetto
• Host 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

Abstract

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

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.