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Albanese and Picard 1-motives

L. Barbieri Viale·V. Srinivas
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Abstract

We define, in a purely algebraic way, 1-motives $Alb^{+}(X)$, $Alb^{-}(X)$, $Pic^{+}(X)$ and $Pic^{-}(X)$ associated with any algebraic scheme $X$ over an algebraically closed field of characteristic zero. For $X$ over $\C$ of dimension $n$ the Hodge realizations are, respectively, $H^{2n-1}(X)(n)$, $H_{1}(X)$, $H^{1}(X)(1)$ and $H_{2n-1}(X)(1-n)$.

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BibTeXRIS

L. Barbieri Viale, V. Srinivas. 1998-03-24. Albanese and Picard 1-motives. https://arxiv.org/abs/math/9803112

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