Logarithmic Jet Spaces and Intersection Multiplicities

Details Logarithmic Jet Spaces and Intersection Multiplicities Logarithmic Jet Spaces and Intersection Multiplicities

2010-02-27

arxiv.org/abs/1003.0125v1

Mathematics

Algebraic Geometry

39 pages, Doctoral Dissertation

Scientific paper

The theory of relative logarithmic jet spaces is developed for log schemes.
With this theory the existence of bounds of intersection multiplicities of
curves and divisors on certain log schemes is established. This result extends
those of Noguchi and Winkelmann by replacing the semi-abelian condition by a
differential one.

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