Abelian Varieties over the Complex Numbers

1. Line Bundles on Complex Tori.- 2 Abelian Varieties.- 3 Moduli Spaces.- 4 Jacobian Varieties.- 5 Main Examples of Abelian Varieties.- 6 The Fourier Transform for Sheaves and Cycles.- 7 Introduction to the Hodge Conjecture for Abelian Varieties.

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• Teoria dos números
• Análise complexa, variáveis ??complexas
• Geometria algébrica

textbook on abelian varieties;complex abelian varieties;Fourier-Mukai transform;complex tori;Jacobian variety;Albanese variety;Picard variety;Prym variety;intermediate Jacobian;Hodge conjecture;line bundles