Minimal models and abundance for positive characteristic log surfaces

Details Minimal models and abundance for positive characteristic log surfaces Minimal models and abundance for positive characteristic log surfaces

2012-01-27

arxiv.org/abs/1201.5699v1

Mathematics

Algebraic Geometry

58 pages

Scientific paper

We discuss the birational geometry of singular surfaces in positive characteristic. More precisely, we establish the minimal model program and the abundance theorem for projective normal Q-factorial surfaces and for projective log canonical surfaces. Moreover, in the case where the base field is an algebraic closure of a finite field, we obtain the same results under much weaker assumptions.

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