An observation on $(-1)$-curves on rational surfaces

DOI10.1090/proc/14330zbMath1408.14118arXiv1709.03518OpenAlexW2963546277MaRDI QIDQ4621349

Olivia Dumitrescu, Brian Osserman

Publication date: 12 February 2019

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

Full work available at URL: https://arxiv.org/abs/1709.03518

zbMATH Keywords

rational surfacesSHGH conjecture\((-1)\)-curves

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26)

Cites Work

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• Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid
• Exceptional curves on rational numerically elliptic surfaces
• Blowings-up of \({\mathbb{P}}^ 2\) and their blowings-down
• Betti numbers for fat point ideals in the plane: A geometric approach
• Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.

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