U. Derenthal's Publications
Book
Published
- On Manin's conjecture for a certain singular cubic surface (with R. de la Bretèche, T. D. Browning)
Annales Scientifiques de l'École Normale Supérieure 40 (2007), no. 1, pp. 1-50
[doi:10.1016/j.ansens.2006.12.002] [Preprint: arXiv:math.NT/0509370] - On a constant arising in Manin's conjecture for Del Pezzo surfaces
Mathematical Research Letters 14 (2007), no. 3, pp. 481-489
[doi:10.4310/MRL.2007.v14.n3.a12] [Preprint: arXiv:math.NT/0702549] - Universal torsors of Del Pezzo surfaces and homogeneous spaces
Advances in Mathematics 213 (2007), no. 2, pp. 849-864
[doi:10.1016/j.aim.2007.01.012] [Preprint: arXiv:math.AG/0604195] - Universal torsors over Del Pezzo surfaces and rational points (with Yu. Tschinkel)
in: Equidistribution in Number Theory, An Introduction - Proceedings of the NATO Advanced Study Institute on Equidistribution in Number Theory, Montreal, Canada, 11-22 July 2005. A. Granville, Z. Rudnick (Eds.) in: NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 237, Springer, Dordrecht, 2007, pp. 169-196
[doi:10.1007/978-1-4020-5404-4_9] [Preprint: arXiv:math.NT/0604193] - The nef cone volume of generalized Del Pezzo surfaces (with M. Joyce, Z. Teitler)
Algebra & Number Theory 2 (2008), no. 2, pp. 157-182
[doi:10.2140/ant.2008.2.157] [Preprint: arXiv:math.AG/0703202] - Counting integral points on universal torsors
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2648-2699
[doi:10.1093/imrn/rnp030] [Preprint arXiv:0810.4122] - Manin's conjecture for a cubic surface with D5 singularity (with T. D. Browning)
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2620-2647
[doi:10.1093/imrn/rnp029] [Preprint: arXiv:0807.4733] - Manin's conjecture for a quartic del Pezzo surface with A4 singularity (with T. D. Browning)
Annales de l'Institut Fourier 59 (2009), no. 3, pp. 1231-1265
[doi:10.5802/aif.2462] [Preprint: arXiv:0710.1560] - Singular del Pezzo surfaces that are equivariant compactifications (with D. Loughran)
in: Proceedings of Hausdorff Trimester on Diophantine equations in: Zapiski Nauchnykh Seminarov (POMI) 377 (2010), pp. 26-43 and Journal of Mathematical Sciences 171 (2010), no. 6, pp. 714-724
[Article] [doi:10.1007/s10958-010-0174-9] [Preprint: arXiv:0910.2717] - Gaussian rational points on a singular cubic surface (with F. Janda)
in: Torsors, Étale Homotopy and Applications to Rational Points - Proceedings of the ICMS workshop in Edinburgh, 10-14 January 2011. A. Skorobogatov (Ed.) in: London Mathematical Society Lecture Note Series 405, Cambridge University Press, Cambridge, 2013, pp. 210-231
[doi:10.1017/CBO9781139525350.007] [Preprint: arXiv:1105.2807] - On the factor alpha in Peyre's constant (with A.-S. Elsenhans, J. Jahnel)
Mathematics of Computation 83 (2014), no. 286, pp. 965-977
[doi:10.1090/S0025-5718-2013-02772-X] [Preprint: arXiv:1202.6287] - Singular del Pezzo surfaces whose universal torsors are hypersurfaces
Proceedings of the London Mathematical Society 108 (2014), no. 3, pp. 638-681
[doi:10.1112/plms/pdt041] [Preprint: arXiv:math.AG/0604194] - Counting imaginary quadratic points via universal torsors (with C. Frei)
Compositio Mathematica 150 (2014), no. 10, pp. 1631-1678
[doi:10.1112/S0010437X13007902] [Preprint: arXiv:1302.6151] - Counting imaginary quadratic points via universal torsors, II (with C. Frei)
Mathematical Proceedings of the Cambridge Philosophical Society 156 (2014), no. 3, pp. 383-407
[doi:10.1017/S0305004113000728] [Preprint: arXiv:1304.3352] - Equivariant compactifications of two-dimensional algebraic groups (with D. Loughran)
Proceedings of the Edinburgh Mathematical Society 58 (2015), no. 1, pp. 149-168
[doi:10.1017/S001309151400042X] [Preprint: arXiv:1212.3518] - Universal torsors and values of quadratic polynomials represented by norms (with A. Smeets, D. Wei)
Mathematische Annalen 361 (2015), no. 3-4, pp. 1021-1042
[doi:10.1007/s00208-014-1106-7] [Preprint: arxiv:1202.3567] - On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields (with C. Frei)
International Mathematics Research Notices IMRN (2015), no. 10, pp. 2728-2750
[doi:10.1093/imrn/rnu016] [Preprint: arXiv:1311.2809] - Cox rings of cubic surfaces and Fano threefolds (with J. Hausen, A. Heim, S. Keicher, A. Laface)
Journal of Algebra 436 (2015), pp. 228-276
[doi:10.1016/j.jalgebra.2015.04.028] [Preprint: arXiv:1409.0799] - Quadratic congruences on average and rational points on cubic surfaces (with S. Baier)
Acta Arithmetica 171 (2015), pp. 145-171
[doi:10.4064/aa171-2-3] [Preprint: arXiv:1205.0373] - Strong approximation and descent (with D. Wei)
Journal für die reine und angewandte Mathematik 731 (2017), pp. 235-258
[doi:10.1515/crelle-2014-0149] [Preprint: arXiv:1311.3914] - Manin's conjecture for certain spherical threefolds (with G. Gagliardi)
Advances in Mathematics 337 (2018), pp. 39-82
[doi:10.1016/j.aim.2018.08.005] [Preprint: arXiv:1611.04754] - Cox rings over nonclosed fields (with M. Pieropan)
Journal of the London Mathematical Society 99 (2019), pp. 447-476
[doi:10.1112/jlms.12178] [Preprint: arXiv:1408.5358] - Degeneration of torsors over families of del Pezzo surfaces (with N. Hoffmann)
Mathematische Nachrichten 293 (2020), pp. 2306-2344
[doi:10.1002/mana.201900546] [Preprint: arXiv:1601.00685] - The split torsor method for Manin's conjecture (with M. Pieropan)
Transactions of the American Mathematical Society 373 (2020), pp. 8485-8524
[doi:10.1090/tran/8133] [Preprint: arXiv:1907.09431] - Integral points on singular del Pezzo surfaces (with F. Wilsch)
Journal of the Institute of Mathematics of Jussieu 23 (2024), pp. 1259-1294
[doi:10.1017/S1474748022000482] [Preprint: arXiv:2109.06778] - The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one (with V. Blomer, J. Brüdern, G. Gagliardi)
Forum of Mathematics, Sigma 12 (2024), Paper No. e11, 93 pp.
[doi:10.1017/fms.2023.123] [Preprint: arXiv:2004.09357] - G-torsors and universal torsors over nonsplit del Pezzo surfaces (with N. Hoffmann)
Journal of Algebra 658 (2024), pp. 163-176
[doi:10.1016/j.jalgebra.2024.06.002] [Preprint: arXiv:2109.08137] - The Manin-Peyre conjecture for smooth spherical Fano threefolds (with V. Blomer, J. Brüdern, G. Gagliardi)
Selecta Mathematica (N.S.) 30 (2024), Paper No. 69, 61 pp.
[doi:10.1007/s00029-024-00952-4] [Preprint: arXiv:2203.1484] - Points of bounded height on quintic del Pezzo surfaces over number fields (with C. Bernert)
Advances in Mathematics 482 (2025), part A, Paper No. 110561, 41 pp.
[doi:10.1016/j.aim.2025.110561] [Preprint: arXiv:2405.20293] - Iitaka fibrations and integral points: a family of arbitrarily polarized spherical threefolds (with F. Wilsch)
Journal of the London Mathematical Society 112 (2025), Paper No. e70362, 28 pp.
[doi:10.1112/jlms.70362] [arXiv:2505.10245]
Accepted
Preprints
Theses
- Diplomarbeit: Darstellungen und prinzipal-homogene Räume
Universität Göttingen, 2004 - Dissertation: Geometry of universal torsors
Universität Göttingen, 2006 [doi:10.53846/goediss-2581]
Other
