Harbourne Constants, Pull-Back Clusters and Ramified Morphisms

Piotr Pokora, Joaquim Roé

Research output: Contribution to journalArticleResearch

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 languageEnglish
Article number109
JournalResults in Mathematics
Volume74
DOIs
Publication statusPublished - 1 Sep 2019

Keywords

  • Algebraic curves
  • algebraic surfaces
  • blowups
  • clusters of points

Fingerprint Dive into the research topics of 'Harbourne Constants, Pull-Back Clusters and Ramified Morphisms'. Together they form a unique fingerprint.

Cite this