Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

Piotr Pokora; Joaquim Roé

doi:10.1007/s00025-019-1031-x

Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

Piotr Pokora, Joaquim Roé

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

© 2019, The Author(s). We describe the effect of ramified morphisms on Harbourne constants of reduced effective divisors. With this goal, we introduce the pullback of a weighted cluster of infinitely near points under a dominant morphism between surfaces, and describe some of its basic properties. As an application, we describe configurations of curves with transversal intersections and H-index arbitrarily close to - 25 / 7 ≃ - 3.571 , smaller than any previously known result.

Original language	English
Article number	109
Number of pages	24
Journal	Results in Mathematics
Volume	74
Issue number	3
DOIs	https://doi.org/10.1007/s00025-019-1031-x
Publication status	Published - 1 Sept 2019

Keywords

Algebraic curves
algebraic surfaces
blowups
clusters of points

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10.1007/s00025-019-1031-x

Cite this

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AB - © 2019, The Author(s). We describe the effect of ramified morphisms on Harbourne constants of reduced effective divisors. With this goal, we introduce the pullback of a weighted cluster of infinitely near points under a dominant morphism between surfaces, and describe some of its basic properties. As an application, we describe configurations of curves with transversal intersections and H-index arbitrarily close to - 25 / 7 ≃ - 3.571 , smaller than any previously known result.

KW - Algebraic curves

KW - algebraic surfaces

KW - blowups

KW - clusters of points

UR - http://www.mendeley.com/research/harbourne-constants-pullback-clusters-ramified-morphisms

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JO - Results in Mathematics

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Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

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Keywords

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