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.
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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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Kyoto Journal of Mathematics
