On contractible curves on normal surfaces

1999/11/16 by Stefan Schroeer
Mathematics · #math.AG #msc:14C20 #msc:14E10 #msc:14J05 #msc:14J17

paper · pdf

published as J. reine angew. Math. 524, 1-15 (2000) · 20 pages, submitted to J. Reine Angew. Math

arxiv created 1999/11/16 · arxiv updated 2009/11/30

Abstract

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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