Big rational surfaces D Testa, A Várilly-Alvarado, M Velasco Mathematische Annalen 351 (1), 95-107, 2011 | 78 | 2011 |
Locally recoverable codes from algebraic curves and surfaces A Barg, K Haymaker, EW Howe, GL Matthews, A Várilly-Alvarado Algebraic Geometry for Coding Theory and Cryptography: IPAM, Los Angeles, CA …, 2017 | 64 | 2017 |
Transcendental obstructions to weak approximation on general K3 surfaces B Hassett, A Várilly-Alvarado, P Varilly Advances in Mathematics 228 (3), 1377-1404, 2011 | 61 | 2011 |
Arithmetic of del Pezzo surfaces, Birational Geometry, Rational Curves, and Arithmetic, 293–319 (F. Bogomolov, B. Hassett and Y. Tschinkel eds.) Simons Symposia 1 A Várilly-Alvarado Springer, New York, 2013 | 48* | 2013 |
Cox rings of degree one del Pezzo surfaces D Testa, A Várilly-Alvarado, M Velasco Algebra & Number Theory 3 (7), 729-761, 2009 | 46 | 2009 |
Cubic fourfolds containing a plane and a quintic del Pezzo surface A Auel, M Bernardara, M Bolognesi, A Várilly-Alvarado Algebraic Geometry 1 (2), 181-193, 2014 | 44 | 2014 |
On the unirationality of del Pezzo surfaces of degree 2 C Salgado, D Testa, A Várilly-Alvarado Journal of the London Mathematical Society 90 (1), 121-139, 2014 | 43 | 2014 |
Cubic fourfolds fibered in sextic del Pezzo surfaces N Addington, B Hassett, Y Tschinkel, A Várilly-Alvarado American Journal of Mathematics 141 (6), 1479-1500, 2019 | 41 | 2019 |
Failure of the Hasse principle on general surfaces B Hassett, A Várilly-Alvarado Journal of the Institute of Mathematics of Jussieu 12 (4), 853-877, 2013 | 39 | 2013 |
Weak approximation on del Pezzo surfaces of degree 1 A Várilly-Alvarado Advances in Mathematics 219 (6), 2123-2145, 2008 | 39 | 2008 |
Kodaira dimension of moduli of special cubic fourfolds S Tanimoto, A Várilly-Alvarado Journal für die reine und angewandte Mathematik (Crelles Journal) 2019 (752 …, 2019 | 29* | 2019 |
Brauer groups on K3 surfaces and arithmetic applications K McKinnie, J Sawon, S Tanimoto, A Várilly-Alvarado Brauer groups and obstruction problems: moduli spaces and arithmetic, 177-218, 2017 | 29* | 2017 |
Campana points of bounded height on vector group compactifications M Pieropan, A Smeets, S Tanimoto, A Várilly‐Alvarado Proceedings of the London Mathematical Society 123 (1), 57-101, 2021 | 28 | 2021 |
Abelian-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces A Várilly-Alvarado, B Viray Forum of Mathematics, Sigma 5, e26, 2017 | 24 | 2017 |
Arithmetic of K3 surfaces A Várilly-Alvarado Geometry over nonclosed fields, 197-248, 2017 | 23 | 2017 |
Higher‐dimensional analogs of Châtelet surfaces A Várilly‐Alvarado, B Viray Bulletin of the London Mathematical Society 44 (1), 125-135, 2012 | 22 | 2012 |
Density of rational points on isotrivial rational elliptic surfaces A Várilly-Alvarado Algebra & Number Theory 5 (5), 659-690, 2012 | 21 | 2012 |
Arithmetic E8 lattices with maximal Galois action A Várilly-Alvarado, D Zywina LMS Journal of Computation and Mathematics 12, 144-165, 2009 | 18 | 2009 |
Arithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groups A Várilly-Alvarado, B Viray Advances in Mathematics 255, 153-181, 2014 | 17 | 2014 |
Level structures on Abelian varieties, Kodaira dimensions, and Lang's conjecture D Abramovich, A Várilly-Alvarado Advances in Mathematics 329, 523-540, 2018 | 16 | 2018 |