On contractible curves on normal surfaces

Details On contractible curves on normal surfaces On contractible curves on normal surfaces

1999-11-16

arxiv.org/abs/math/9911119v1

J. reine angew. Math. 524, 1-15 (2000)

Mathematics

Algebraic Geometry

20 pages, submitted to J. Reine Angew. Math

Scientific paper

We characterize contractible curves on proper normal algebraic surfaces in
terms of complementary Weil divisors. Using this we generalize the classical
criteria of Castelnuovo and Artin. As application we derive a finiteness result
on homogeneous spectra defined by Weil divisors on surfaces.

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