Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

Piotr Pokora, Joaquim Roé

Producció científica: Contribució a una revistaArticleRecercaAvaluat per experts

5 Cites (Scopus)

Resum

© 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
Volum74
Número3
DOIs
Estat de la publicacióPublicada - 1 de set. 2019

Fingerprint

Navegar pels temes de recerca de 'Harbourne Constants, Pull-Back Clusters and Ramified Morphisms'. Junts formen un fingerprint únic.

Com citar-ho