Modulus of a rational map into a commutative algebraic group

Details Modulus of a rational map into a commutative algebraic group Modulus of a rational map into a commutative algebraic group

2010-03-17

arxiv.org/abs/1003.3289v1

Mathematics

Number Theory

17 pages

Scientific paper

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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