Fibrations with few rational points

Author:

Loughran D.,Smeets A.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference48 articles.

1. M. Bhargava. A positive proportion of plane cubics fail the Hasse principle. arXiv:1402.1131 .

2. M. Bhargava, B. Gross. and X. Wang, Pencils of quadrics and the arithmetic of hyperelliptic curves. Journal of the American Mathematical Society, to appear. arXiv:1310.7692 .

3. M. Bhargava, J.E. Cremona, N.G. Jones, T. Fisher, and J.P. Keating. What is the probability that a random integral quadratic form in n variables has an integral zero? International Mathematics Research Notices, to appear. arXiv:1502.05992

4. Bhargava M., Cremona J.E., Fisher T.: The proportion of plane cubic curves over $${\mathbb{Q}}$$ Q that everywhere locally have a point. International Journal of Number Theory 12(04), 1077–1092 (2016)

5. N. Bourbaki. Éléments de mathématique. Algèbre. Chapitres 4 à 7. In: Lecture Notes in Mathematics, Vol. 864. Masson, Paris (1981).

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1. Frobenian multiplicative functions and rational points in fibrations;Journal of the European Mathematical Society;2023-09-15

2. Local solubility for a family of quadrics over a split quadric surface;Involve, a Journal of Mathematics;2023-05-26

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