The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities

DOI10.3934/era.2017.24.003zbMath1407.52032arXiv1612.05141OpenAlexW2604485123MaRDI QIDQ1757282

Piotr Pokora

Publication date: 3 January 2019

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05141

zbMATH Keywords

Hirzebruch-type inequalitiescurve configurationsorbifold Miyaoka-Yau inequality

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) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items (7)

𝒬-conic arrangements in the complex projective plane ⋮ On plane conic arrangements with nodes and tacnodes ⋮ On the number of ordinary lines determined by sets in complex space ⋮ Conic-line arrangements in the complex projective plane ⋮ Hirzebruch-type inequalities viewed as tools in combinatorics ⋮ A note on the weak Dirac conjecture ⋮ The 21 Reducible Polars of Klein’s Quartic

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• Bounded negativity, Harbourne constants and transversal arrangements of curves
• On the Chern numbers of surfaces of general type

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