Harbourne constants and conic configurations on the projective plane

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...

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Bibliographic Details
Published inMathematische Nachrichten Vol. 289; no. 7; pp. 888 - 894
Main Authors Pokora, Piotr, Tutaj-Gasińska, Halszka
Format Journal Article
LanguageEnglish
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
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Summary: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.
Bibliography:ark:/67375/WNG-NM4P4KMT-7
National Science Centre Poland - No. 2014/15/B/ST1/02197
ArticleID:MANA201500253
National Science Centre Poland - No. 2014/15/N/ST1/02102
istex:1229D543ABBF93A15353ECC37AB84BEBD7D1D05F
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201500253