Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

Piotr Pokora, Joaquim Roé

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© 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.
Idioma originalEnglish
Número d’article109
Nombre de pàgines24
RevistaResults in Mathematics
Estat de la publicacióPublicada - 1 de set. 2019


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