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arXiv · 1003.3289

Modulus of a rational map into a commutative algebraic group

Kazuya Kato·Henrik Russell
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Abstract

For a rational map $\phi: X \to G$ from a normal algebraic variety $X$ to a commutative algebraic group $G$, we define the modulus of $\phi$ as an effective divisor on $X$. We study the properties of the modulus. This work generalizes the known theories for curves to higher dimensional varieties.

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Kazuya Kato, Henrik Russell. 2010-03-17. Modulus of a rational map into a commutative algebraic group. https://doi.org/10.1215/0023608x-2010-006

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