Ce papier contient une preuve de la conjecture de Manin pour une surface quartique de del Pezzo, avec singularité .
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type .
Classification : 11G35, 14G05, 14G10
Mots clés : surfaces de del Pezzo, points rationnels, conjecture de Manin
@article{AIF_2009__59_3_1231_0, author = {Browning, Tim D. and Derenthal, Ulrich}, title = {Manin{\textquoteright}s conjecture for a quartic del {Pezzo} surface with $\mathbf{A}_4$ singularity}, journal = {Annales de l'Institut Fourier}, pages = {1231--1265}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {59}, number = {3}, year = {2009}, doi = {10.5802/aif.2462}, mrnumber = {2543667}, zbl = {1193.14028}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2462/} }
TY - JOUR AU - Browning, Tim D. AU - Derenthal, Ulrich TI - Manin’s conjecture for a quartic del Pezzo surface with $\mathbf{A}_4$ singularity JO - Annales de l'Institut Fourier PY - 2009 DA - 2009/// SP - 1231 EP - 1265 VL - 59 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2462/ UR - https://www.ams.org/mathscinet-getitem?mr=2543667 UR - https://zbmath.org/?q=an%3A1193.14028 UR - https://doi.org/10.5802/aif.2462 DO - 10.5802/aif.2462 LA - en ID - AIF_2009__59_3_1231_0 ER -
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. http://archive.numdam.org/articles/10.5802/aif.2462/
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