On Manin's conjecture for a family of Châtelet surfaces
De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
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Journal Article
| Published
Author
de la Bretèche, Régis;
Browning, Timothy DISTA 
;
Peyre, Emmanuel
;
Peyre, EmmanuelAbstract
The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.
Publishing Year
Date Published
2012-01-01
Journal Title
Annals of Mathematics
Acknowledgement
EP/E053262/1 Engineering and Physical Sciences Research Council
Volume
175
Issue
1
Page
297 - 343
IST-REx-ID
Cite this
De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8
De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8
De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.175.1.8.
R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.
De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.
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