Automorphisms of Finite Order on Rational Surfaces

Details Automorphisms of Finite Order on Rational Surfaces Automorphisms of Finite Order on Rational Surfaces

2000-09-13

arxiv.org/abs/math/0009126v1

Mathematics

Algebraic Geometry

with an Appendix by I. Dolgachev; to appear in Journal of Algebra

Scientific paper

We classify minimal pairs (X, G) for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X^G and the quotient surface Y = X/G as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori's extremal ray theory and recent results of Alexeev and also Ambro on the existence of good anti-canonical divisors are used.

Affiliated with

Also associated with

No associations

Rating

Automorphisms of Finite Order on Rational Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Automorphisms of Finite Order on Rational Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphisms of Finite Order on Rational Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-630684