𝒬-conic arrangements in the complex projective plane

DOI10.1090/proc/16376OpenAlexW4313203948MaRDI QIDQ5889743

Piotr Pokora

Publication date: 27 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11503

zbMATH Keywords

quasi-homogeneous singularitiesorbifold Miyaoka-Yau inequalityconic arrangements

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Divisors, linear systems, invertible sheaves (14C20) Configurations and arrangements of linear subspaces (14N20)

Related Items (1)

On plane conic arrangements with \(A_5\) and \(A_7\) singularities

Cites Work

• Freeness of conic-line arrangements in \(\mathbb P^{2}\)
• The maximal number of quotient singularities on surfaces with given numerical invariants
• The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities
• On plane conic arrangements with nodes and tacnodes
• On conic-line arrangements with nodes, tacnodes, and ordinary triple points
• Logarithmic vector fields for curve configurations in \(\mathbb{P}^2\) with quasihomogeneous singularities
• Das Lemma von Poincaré für holomorphe Differentialformen auf komplexen Räumen
• Application of the theory of the discriminant to highly singular plane curves
• LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS
• Chilean configuration of conics, lines and points
• Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture
• Conic-line arrangements in the complex projective plane
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