Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems A Auel, M Bernardara, M Bolognesi Journal de mathématiques pures et appliquées 102 (1), 249-291, 2014 | 84 | 2014 |
Universal unramified cohomology of cubic fourfolds containing a plane A Auel, JL Colliot-Thélene, R Parimala Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic, 29-55, 2017 | 65 | 2017 |
Open problems on central simple algebras A Auel, E Brussel, S Garibaldi, U Vishne Transformation Groups 16, 219-264, 2011 | 64 | 2011 |
Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields A Auel, M Bernardara Proceedings of the London Mathematical Society 117 (1), 1-64, 2018 | 45 | 2018 |
Cubic fourfolds containing a plane and a quintic del Pezzo surface A Auel, M Bernardara, M Bolognesi, A Várilly-Alvarado arXiv preprint arXiv:1205.0237, 2012 | 45 | 2012 |
Quadric surface bundles over surfaces A Auel, R Parimala, V Suresh preprint, 2015 | 25 | 2015 |
Cycles, derived categories, and rationality A Auel, M Bernardara Surveys on recent developments in algebraic geometry 95, 199-266, 2017 | 24 | 2017 |
Stable rationality of quadric and cubic surface bundle fourfolds A Auel, C Böhning, A Pirutka European Journal of Mathematics 4, 732-760, 2018 | 16 | 2018 |
Clifford invariants of line bundle-valued quadratic forms A Auel | 16 | 2011 |
Universal triviality of the Chow group of 0-cycles and the Brauer group A Auel, A Bigazzi, C Böhning, HC Graf von Bothmer International Mathematics Research Notices 2021 (4), 2479-2496, 2021 | 13 | 2021 |
Conic bundles with nontrivial unramified Brauer group over threefolds A Auel, C Böhning, HCG Bothmer, A Pirutka arXiv preprint arXiv:1610.04995, 2016 | 11 | 2016 |
Exceptional collections of line bundles on projective homogeneous varieties A Ananyevskiy, A Auel, S Garibaldi, K Zainoulline Advances in Mathematics 236, 111-130, 2013 | 11 | 2013 |
Surjectivity of the total Clifford invariant and Brauer dimension A Auel Journal of Algebra 443, 395-421, 2015 | 10 | 2015 |
The transcendental lattice of the sextic Fermat surface A Auel, C Böhning, HCG Bothmer arXiv preprint arXiv:1306.6798, 2013 | 10 | 2013 |
Brill-Noether special cubic fourfolds of discriminant 14 A Auel Facets of algebraic geometry. Vol. I, 29-53, 2022 | 9 | 2022 |
Remarks on the Milnor conjecture over schemes A Auel arXiv preprint arXiv:1109.3294, 2011 | 7 | 2011 |
Universal unramified cohomology of cubic fourfolds containing a plane, Brauer groups and obstruction problems: moduli spaces and arithmetic (Palo Alto, 2013) A Auel, JL Colliot-Thélene, R Parimala Progress in Mathematics 320, 0 | 7 | |
Maximal Brill-Noether loci via K3 surfaces A Auel, R Haburcak arXiv preprint arXiv:2206.04610, 2022 | 6 | 2022 |
Azumaya algebras without involution. A Auel, UA First, B Williams Journal of the European Mathematical Society (EMS Publishing) 21 (3), 2019 | 6 | 2019 |
Cohomological invariants of line bundle-valued symmetric bilinear forms A Auel Pennsylvania State University: dissertation, 2009 | 6 | 2009 |