The Hodge Conjecture for General Abelian and Jacobian Varieties

Christina Birkenhake,Herbert Lange

doi:10.1007/978-3-662-06307-1_19

The Hodge Conjecture for General Abelian and Jacobian Varieties

Christina Birkenhake, Herbert Lange

https://doi.org/10.1007/978-3-662-06307-1_19

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Publication Date: Jan 1, 2004

Affiliation: University of Erlangen-Nuremberg

#Abelian Varieties #Hodge Conjecture + Show 8 more

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Abstract

The Hodge conjecture is one of the most prominent problems of contemporary mathematics. In fact, it is one of the 7 millenium problems. Although it is formulated for arbitrary smooth complex projective varieties, abelian varieties are considered as a test for its validity. In this chapter we give an introduction to this subject.

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