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Title: Um estudo sobre a conjectura de Hodge
Title Alternative: A study on the Hodge conjecture
Author: Andrade, Clarissa Bergo, 1991-
Advisor: Leão, Rafael de Freitas, 1979-
Abstract: Resumo: Neste trabalho, estudamos o problema da Conjectura de Hodge, cujo objetivo é enxergar certas classes de cohomologia de uma variedade projetiva como combinações lineares de classes associadas a subvariedades complexas da mesma. Para que possamos compreender o enunciado da conjectura e sua resolução no caso conhecido para classes do tipo (1,1), construímos as ferramentas necessárias da geometria algébrica complexa

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
Subject: Variedades complexas
Variedades kahlerianas
Geometria algébrica
Editor: [s.n.]
Date Issue: 2015
Appears in Collections:IMECC - Dissertação e Tese

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