Modulus of a rational map into a commutative algebraic group

Kazuya Kato and Henrik Russell
Source: Kyoto J. Math. Volume 50, Number 3 (2010), 607-622.

Abstract

For a rational map $\phi\dvtx X\to G$ 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 $X$ to higher-dimensional varieties.

First Page:
Primary Subjects: 14L10
Secondary Subjects: 11S15, 14E05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.kjm/1281531714
Digital Object Identifier: doi:10.1215/0023608X-2010-006
Zentralblatt MATH identifier: 05793437
Mathematical Reviews number (MathSciNet): MR2723864

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