Harbourne constants and conic configurations on the projective plane

• Published in: Mathematische Nachrichten Vol. 289; no. 7; pp. 888 - 894
• Main Authors: Pokora, Piotr, Tutaj-Gasińska, Halszka
• Format: Journal Article
• Language: English; French; German
• Published: Weinheim Blackwell Publishing Ltd 01.05.2016; Wiley Subscription Services, Inc
• Subjects: 14C20; blow-ups; bounded negativity conjecture; Conic configurations; Hirzebruch-type inequality; negative curves

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...