372 research outputs found
Automorphisms of Finite Order on Rational Surfaces
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.Comment: with an Appendix by I. Dolgachev; to appear in Journal of Algebr
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