Unbounded negativity on rational surfaces in positive characteristic

DOI10.1515/crelle-2021-0078zbMath1483.14019arXiv2103.02172OpenAlexW3217355707MaRDI QIDQ2121998

Remy van Dobben de Bruyn, Raymond Cheng

Publication date: 5 April 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.02172

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Rational and birational maps (14E05) Divisors, linear systems, invertible sheaves (14C20) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items

Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ On the Bounded Negativity Conjecture and singular plane curves

Cites Work

• Unnamed Item
• The Bogomolov-Miyaoka-Yau inequality for logarithmic surfaces in positive characteristic
• On Fermat varieties
• An example of unirational surfaces in characteristic \(p\)
• Negative curves on algebraic surfaces
• Constructions of plane curves with many points
• Global aspects of the geometry of surfaces
• Bounded Negativity and Arrangements of Lines
• The dynamical Mordell-Lang conjecture in positive characteristic
• Recent developments and open problems in linear series
• Asymptotics of linear systems, with connections to line arrangements
• Weak bounded negativity conjecture