Counting curves on the plane blown up in three collinear points

DOI10.5802/aif.2478zbMath1193.11066arXiv0803.4452OpenAlexW4298845681MaRDI QIDQ1041268

David Bourqui

Publication date: 2 December 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.4452

zbMATH Keywords

Manin's conjectureprojective planeheightsCox ringblowing-up universal torsorglobal field of positive characteristic

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Parametrization (Chow and Hilbert schemes) (14C05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Varieties over global fields (11G35) Heights (11G50) Divisors, linear systems, invertible sheaves (14C20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Related Items (5)

Examples of counting curves on surfaces ⋮ Manin's conjecture for a certain family of intrinsic quadrics ⋮ Moduli spaces of curves and Cox rings ⋮ Rational approximations on toric varieties ⋮ Algebraic points, non-anticanonical heights and the Severi problem on toric varieties

Cites Work

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