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Complements on surfaces

Name: Complements on surfaces
Creator: V. V. Shokurov
Keywords: Mathematics - Algebraic Geometry, 14E05, 14E30, 14J25, 14J30, Rational and ruled surfaces, FOS: Mathematics, $3$-folds, 0101 mathematics, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), 01 natural sciences

Complements on surfaces.

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2000Embargo end date: 01 Jan 1997 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 102, pages 3,876-3,932 (issn: 1072-3374, eissn: 1573-8795,

Authors: V. V. Shokurov;

doi: 10.1007/bf02984106 , 10.48550/arxiv.alg-geom/9711024

arXiv: http://arxiv.org/abs/alg-geom/9711024

Complements on surfaces

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Abstract

The main result of the paper is a boundedness for $n$-complements on algebraic surfaces. In addition, applications of this theorem to a classification of log Del Pezzo surfaces and of birational contractions for 3-folds are formulated.

105 pages. Minor typos corrected

Related Organizations

Johns Hopkins University
United States

Keywords

Mathematics - Algebraic Geometry, 14E05, 14E30, 14J25, 14J30, Rational and ruled surfaces, FOS: Mathematics, $3$-folds, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	69
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

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Top 10%

Green

Fields of Science

Fields of Science

Funded by

NSF| Mathematical Sciences: The Log Model Theory