On the exceptional tangents to a smooth, plane curve

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1972 Germany English Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 125, pages 359-360 (issn: 0025-5874, eissn: 1432-1823,

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Authors: Iversen, Birger;

doi: 10.1007/bf01110997

On the exceptional tangents to a smooth, plane curve

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Abstract

Let C denote a smooth, plane, projective curve of degree n>2, defined over 112 or any other algebraically closed field of characterization 0. For a line L let i(L, C) denote the number of points in which L intersects C (counted without multiplicity) and let t(L, C) denote the number of points of C having L as tangent (again, counted without multiplicity) finally, put 2(L, C)=i(L, C)(i(L, C ) l ) ( n 1 ) ( n 2 t ( L , C)). (1)

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Germany

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Germany

Keywords

510.mathematics, Curves in algebraic geometry, Article, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry

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