CV Lattes
Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Lucas Kaufmann Sacchetto in research grants and scholarships supported by FAPESP.
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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
1. Riemann Surfaces: basic definitions, examples, projective curves.2. Functions and maps: holomorphic e meromorphic functions, Laurent series, holomorphic and meromorphic maps between Riemann surfaces and global properties.3. More Example of Riemann surfaces: conics, hyperellitic surfaces, genus, group actions, monodromy, basic projective geometry.4. Integration on Riemann surfaces: diff…
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