English

Modulus of a rational map into a commutative algebraic group

Number Theory 2015-01-14 v1 Algebraic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.1003.3289,
  title  = {Modulus of a rational map into a commutative algebraic group},
  author = {Kazuya Kato and Henrik Russell},
  journal= {arXiv preprint arXiv:1003.3289},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-21T14:58:44.758Z