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A study on the Hodge conjecture
Full text
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| Author(s): |
Clarissa Bergo Andrade
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2015-05-11 |
| Examining board members: |
Rafael de Freitas Leão;
Ricardo Antonio Mosna;
Carlos Henrique Grossi Ferreira
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| Advisor: | Rafael de Freitas Leão |
| Abstract | |
This work is intended as an introduction to the Hodge Conjecture, which attempts to interpret certain cohomology classes of a projective manifold as those associated to linear combinations of its complex submanifolds. In order to do so, the necessary tools within complex algebraic geometry are developed, thus enabling us to comprehend both the statement of the conjecture and the solution of the known case for (1,1)-classes (AU) | |
| FAPESP's process: | 13/01549-6 - A study on the Hodge Conjecture |
| Grantee: | Clarissa Bergo Andrade |
| Support Opportunities: | Scholarships in Brazil - Master |