Harbourne constants and conic configurations on the projective plane

Abstract

In this note we exhibit the so-called Harbourne constants which capture and measure the Bounded Negativity on various birational models of an algebraic surface. We show an estimation for Harbourne constants for conic configurations on the complex projective plane with transversal intersection points.

7 pages. This is the final version, incorporating the suggestions of the referee. To appear in Mathematische Nachrichten

References in corpus (2)

• Bounded Negativity and Arrangements of Lines
• Bounded negativity of self-intersection numbers of Shimura curves on Shimura surfaces

Cited by in corpus (4)

• Bounded negativity, Harbourne constants and transversal arrangements of curves
• The 21 reducible polars of Klein's quartic
• On the degree of curves with prescribed multiplicities and bounded negativity
• Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements