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The Schubert triangle geometry on an algebraic surface

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Sols, Ignacio and Hermoso, Carlos (2006) The Schubert triangle geometry on an algebraic surface. Communications in Algebra, 34 (12). pp. 4597-4621. ISSN 0092-7872

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Official URL: http://www.tandfonline.com/doi/pdf/10.1080/00927870600936799


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Abstract

For a smooth complex projective surface, and for two families of curves with traditional singularities in it, we enumerate the pairs of curves in each family having two points of contact among them, thus generalizing the double contact formulae known or conjectured by Zeuthen and Schubert in the case of the complex projective plane. The technique we use to this purpose is a particular notion of triangle which can he defined in any smooth surface, thus potentially generalizing to arbitrary surfaces the Schubert technique of triangles.


Item Type:Article
Uncontrolled Keywords:Algebraic surfaces; Intersection theory; Schubert triangles
Subjects:Sciences > Mathematics > Algebra
ID Code:20496
Deposited On:19 Mar 2013 18:21
Last Modified:06 Sep 2018 14:21

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