Failures of weak approximation in families MJ Bright, TD Browning, D Loughran Compositio Mathematica 152 (7), 1435-1475, 2016 | 52 | 2016 |
Singular del Pezzo surfaces that are equivariant compactifications U Derenthal, D Loughran arXiv preprint arXiv:0910.2717, 2009 | 46 | 2009 |
Complete intersections: moduli, Torelli, and good reduction A Javanpeykar, D Loughran Mathematische Annalen 368, 1191-1225, 2017 | 44 | 2017 |
Fibrations with few rational points D Loughran, A Smeets Geometric and Functional Analysis 26, 1449-1482, 2016 | 32 | 2016 |
Varieties with too many rational points TD Browning, D Loughran Mathematische Zeitschrift 285, 1249-1267, 2017 | 30 | 2017 |
Del Pezzo surfaces over finite fields and their Frobenius traces B Banwait, F Fité, D Loughran Mathematical Proceedings of the Cambridge Philosophical Society 167 (1), 35-60, 2019 | 28 | 2019 |
Good reduction of Fano threefolds and sextic surfaces A Javanpeykar, D Loughran arXiv preprint arXiv:1512.07189, 2015 | 28 | 2015 |
Integral Hasse principle and strong approximation for Markoff surfaces D Loughran, V Mitankin International Mathematics Research Notices 2021 (18), 14086-14122, 2021 | 27 | 2021 |
The Hasse norm principle for abelian extensions C Frei, D Loughran, R Newton American Journal of Mathematics 140 (6), 1639-1685, 2018 | 27 | 2018 |
Arithmetic hyperbolicity and a stacky Chevalley–Weil theorem A Javanpeykar, D Loughran Journal of the London Mathematical Society 103 (3), 846-869, 2021 | 24 | 2021 |
Rational points of bounded height on general conic bundle surfaces C Frei, D Loughran, E Sofos Proceedings of the London Mathematical Society 117 (2), 407-440, 2018 | 23 | 2018 |
The number of varieties in a family which contain a rational point D Loughran Journal of the European Mathematical Society 20 (10), 2539-2588, 2018 | 22 | 2018 |
Manin’s conjecture for a singular sextic del Pezzo surface D Loughran Journal de théorie des nombres de Bordeaux 22 (3), 675-701, 2010 | 21 | 2010 |
Sieving rational points on varieties T Browning, D Loughran Transactions of the American Mathematical Society 371 (8), 5757-5785, 2019 | 20 | 2019 |
Equivariant compactifications of two-dimensional algebraic groups U Derenthal, D Loughran Proceedings of the Edinburgh Mathematical Society 58 (1), 149-168, 2015 | 20 | 2015 |
Rational points of bounded height and the Weil restriction D Loughran Israel Journal of Mathematics 210, 47-79, 2015 | 19 | 2015 |
Number fields with prescribed norms. C Frei, D Loughran, R Newton Commentarii Mathematici Helvetici 97 (1), 2022 | 16 | 2022 |
The moduli of smooth hypersurfaces with level structure A Javanpeykar, D Loughran manuscripta mathematica 154, 13-22, 2017 | 15 | 2017 |
Good reduction of algebraic groups and flag varieties A Javanpeykar, D Loughran Archiv der Mathematik 104, 133-143, 2015 | 14 | 2015 |
Pseudo-split fibres and arithmetic surjectivity D Loughran, AN Skorobogatov, A Smeets arXiv preprint arXiv:1705.10740, 2017 | 13 | 2017 |