no. 3
Manin’s conjecture for a quartic del Pezzo surface with A 4 singularity
[La conjecture de Manin pour une surface quartique de del Pezzo avec singularité A 4 ]
Browning, Tim D.1 ; Derenthal, Ulrich2
1 University of Bristol School of Mathematics Bristol BS8 1TW (United Kingdom)
2 Universität Zürich Institut für Mathematik Winterthurerstrasse 190 8057 Zürich (Switzerland)
Annales de l'Institut Fourier, Tome 59 (2009) no. 3, pp. 1231-1265.

Ce papier contient une preuve de la conjecture de Manin pour une surface quartique de del Pezzo, avec singularité A 4 .

The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type A 4 .

DOI : 10.5802/aif.2462
Classification : 11G35, 14G05, 14G10
Keywords: Del Pezzo surfaces, rational points, Manin’s conjecture
Mot clés : surfaces de del Pezzo, points rationnels, conjecture de Manin

Browning, Tim D. 1 ; Derenthal, Ulrich 2

1 University of Bristol School of Mathematics Bristol BS8 1TW (United Kingdom)
2 Universität Zürich Institut für Mathematik Winterthurerstrasse 190 8057 Zürich (Switzerland) 
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Browning, Tim D.; Derenthal, Ulrich. Manin’s conjecture for a quartic  del Pezzo surface with $\mathbf{A}_4$ singularity. Annales de l'Institut Fourier, Tome 59 (2009) no. 3, pp. 1231-1265. doi : 10.5802/aif.2462. https://aif.centre-mersenne.org/articles/10.5802/aif.2462/

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