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arXiv · 0906.0047

Albanese varieties with modulus and Hodge theory

Kazuya Kato·Henrik Russell
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Abstract

Let X be a proper smooth variety over the complex numbers. We consider the generalized Albanese variety Alb(X,Y) of X of modulus Y, which is a higher dimensional analogue of the generalized Jacobian variety with modulus of Rosenlicht-Serre. Note that the divisor Y can have multiplicity, so the algebraic group Alb(X,Y) can have an additive part. The purpose of this paper is to give Hodge theoretic presentations of Alb(X,Y).

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Kazuya Kato, Henrik Russell. 2009-05-30. Albanese varieties with modulus and Hodge theory. https://arxiv.org/abs/0906.0047

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