LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES

DOI10.1017/S0017089518000575zbMath1445.14016arXiv1602.05418MaRDI QIDQ5203859

Roberto Laface, Piotr Pokora

Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05418

zbMATH Keywords

line configurationsH-constantslocal negativitybounded negativiy conjecturesurfaces with non-negative Kodaira dimension

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Divisors, linear systems, invertible sheaves (14C20) Hypersurfaces and algebraic geometry (14J70)

Related Items (2)

Bounded negativity and Harbourne constants on ruled surfaces ⋮ Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces

Cites Work

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• Harbourne constants and arrangements of lines on smooth hypersurfaces in \(\mathbb{P}^{3}_{\mathbb{C}}\)
• Arrangements of rational sections over curves and the varieties they define
• The maximal number of quotient singularities on surfaces with given numerical invariants
• On the local negativity of surfaces with numerically trivial canonical class
• Negative curves on algebraic surfaces
• Bounded Negativity and Arrangements of Lines
• Bounded negativity, Harbourne constants and transversal arrangements of curves
• Bounded Negativity, Miyaoka—Sakai Inequality, and Elliptic Curve Configurations

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