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Prof. Dr.  Ulrich Derenthal

https://orcid.org/0000-0002-5917-0149
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Publications

  1. 2024

  2. E-pub ahead of print

    Points of bounded height on quintic del Pezzo surfaces over number fields

    Bernert, C. & Derenthal, U., 30 May 2024, (E-pub ahead of print).

    Research output: Working paper/Preprint › Preprint

  3. Published

    Integral points on singular del Pezzo surfaces

    Derenthal, U. & Wilsch, F., May 2024, In: Journal of the Institute of Mathematics of Jussieu. 23, 3, p. 1259-1294 36 p.

    Research output: Contribution to journal › Article › Research › peer review

  4. Published

    The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

    Blomer, V., Brüdern, J., Derenthal, U. & Gagliardi, G., 18 Jan 2024, In: Forum of Mathematics, Sigma. 12, 93 p., 11.

    Research output: Contribution to journal › Article › Research › peer review

  5. 2021

  6. E-pub ahead of print

    G-torsors and universal torsors over nonsplit del Pezzo surfaces

    Derenthal, U. & Hoffmann, N., 16 Sept 2021, (E-pub ahead of print) 9 p.

    Research output: Working paper/Preprint › Preprint

  7. 2020

  8. Published

    Degeneration of torsors over families of del Pezzo surfaces

    Derenthal, U. & Hoffmann, N., Dec 2020, In: Mathematische Nachrichten. 293, 12, p. 2306-2334 29 p.

    Research output: Contribution to journal › Article › Research › peer review

  9. Published

    The split torsor method for Manin's conjecture

    Derenthal, U. & Pieropan, M., Dec 2020, In: Transactions of the American Mathematical Society. 373, 12, p. 8485-8524 40 p.

    Research output: Contribution to journal › Article › Research › peer review

  10. 2019

  11. Published

    Cox rings over nonclosed fields

    Derenthal, U. & Pieropan, M., 1 Apr 2019, In: Journal of the London Mathematical Society. 99, 2, p. 447-476 30 p.

    Research output: Contribution to journal › Article › Research › peer review

  12. 2018

  13. Published

    Manin's conjecture for certain spherical threefolds

    Derenthal, U. & Gagliardi, G., 15 Oct 2018, In: Advances in mathematics. 337, p. 39-82 44 p.

    Research output: Contribution to journal › Article › Research › peer review

  14. 2017

  15. Published

    Strong approximation and descent

    Derenthal, U. & Wei, D., Oct 2017, In: Journal fur die Reine und Angewandte Mathematik. 2017, 731, p. 235-258 24 p.

    Research output: Contribution to journal › Article › Research › peer review

  16. 2015

  17. Published

    Cox rings of cubic surfaces and Fano threefolds

    Derenthal, U., Hausen, J., Heim, A., Keicher, S. & Laface, A., 5 Aug 2015, In: Journal of algebra. 436, p. 228-276 49 p.

    Research output: Contribution to journal › Article › Research › peer review

  18. Published

    Universal torsors and values of quadratic polynomials represented by norms

    Derenthal, U., Smeets, A. & Wei, D., Apr 2015, In: Mathematische Annalen. 361, 3-4, p. 1021-1042 22 p.

    Research output: Contribution to journal › Article › Research › peer review

  19. Published

    Equivariant Compactifications of Two-Dimensional Algebraic Groups

    Derenthal, U. & Loughran, D., Feb 2015, In: Proceedings of the Edinburgh Mathematical Society. 58, 1, p. 149-168 20 p.

    Research output: Contribution to journal › Article › Research › peer review

  20. External

    On Manin's Conjecture for a Certain Singular Cubic Surface over Imaginary Quadratic Fields

    Derenthal, U. & Frei, C., 1 Jan 2015, In: International Mathematics Research Notices. 2015, 10, p. 2728-2750 23 p.

    Research output: Contribution to journal › Article › Research › peer review

  21. Published

    Quadratic congruences on average and rational points on cubic surfaces

    Baier, S. & Derenthal, U., 1 Jan 2015, In: Acta arithmetica. 171, 2, p. 145-171 27 p.

    Research output: Contribution to journal › Article › Research › peer review

  22. Published

    Cox rings

    Arzhantsev, I., Derenthal, U., Hausen, J. & Laface, A., 2015, Cambridge University Press. 530 p.

    Research output: Book/Report › Monograph › Research › peer review

  23. 2014

  24. Published

    Counting imaginary quadratic points via universal torsors

    Derenthal, U. & Frei, C., 2 Oct 2014, In: Compositio Mathematica. 150, 10, p. 1631-1678 48 p.

    Research output: Contribution to journal › Article › Research › peer review

  25. External

    Counting imaginary quadratic points via universal torsors, II

    Derenthal, U. & Frei, C., May 2014, In: Mathematical Proceedings of the Cambridge Philosophical Society. 156, 3, p. 383-407 25 p.

    Research output: Contribution to journal › Article › Research › peer review

  26. External

    Singular del Pezzo surfaces whose universal torsors are hypersurfaces

    Derenthal, U., Mar 2014, In: Proceedings of the London Mathematical Society. 108, 3, p. 638-681 44 p.

    Research output: Contribution to journal › Article › Research › peer review

  27. External

    On the factor alpha in Peyre's constant

    Derenthal, U., Elsenhans, A. S. & Jahnel, J., 13 Jan 2014, In: Mathematics of computation. 83, 286, p. 965-977 13 p.

    Research output: Contribution to journal › Article › Research › peer review

  28. 2013

  29. External

    Gaussian rational points on a singular cubic surface

    Derenthal, U. & Janda, F., 2013, Torsors, Étale Homotopy and Applications to Rational Points: Proceedings of the ICMS workshop in Edinburgh, 10-14 January 2011. Skorobogatov, A. (ed.). Cambridge: Cambridge University Press, p. 210-231 22 p. (London Mathematical Society Lecture Note Series; vol. 405).

    Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

  30. 2010

  31. External

    Singular del Pezzo surfaces that are equivariant compactifications

    Derenthal, U. & Loughran, D., 1 Dec 2010, In: Journal of Mathematical Sciences. 171, 6, p. 714-724 11 p.

    Research output: Contribution to journal › Article › Research › peer review

  32. 2009

  33. External

    Counting integral points on universal torsors

    Derenthal, U., 1 Dec 2009, In: International Mathematics Research Notices. 2009, 14, p. 2648-2699 52 p.

    Research output: Contribution to journal › Article › Research › peer review

  34. External

    Manin's conjecture for a cubic surface with D 5 singularity

    Browning, T. D. & Derenthal, U., 1 Dec 2009, In: International Mathematics Research Notices. 2009, 14, p. 2620-2647 28 p.

    Research output: Contribution to journal › Article › Research › peer review

  35. External

    Manin's conjecture for a quartic del Pezzo surface with A4 singularity

    Browning, T. D. & Derenthal, U., 2009, In: Annales de l'Institut Fourier. 59, 3, p. 1231-1265 35 p.

    Research output: Contribution to journal › Article › Research › peer review

  36. 2008

  37. External

    The nef cone volume of generalized del pezzo surfaces

    Derenthal, U., Joyce, M. & Teitler, Z., 1 Jan 2008, In: Algebra and Number Theory. 2, 2, p. 157-182 26 p.

    Research output: Contribution to journal › Article › Research › peer review

  38. 2007

  39. External

    Universal torsors of Del Pezzo surfaces and homogeneous spaces

    Derenthal, U., 20 Aug 2007, In: Advances in mathematics. 213, 2, p. 849-864 16 p.

    Research output: Contribution to journal › Article › Research › peer review

  40. External

    On a constant arising in Manin's conjecture for Del Pezzo surfaces

    Derenthal, U., 1 Mar 2007, In: Mathematical research letters. 14, 2-3, p. 481-489 9 p.

    Research output: Contribution to journal › Article › Research › peer review

  41. External

    On Manin's conjecture for a certain singular cubic surface

    de la Bretèche, R., Browning, T. D. & Derenthal, U., 1 Jan 2007, In: Annales Scientifiques de l'Ecole Normale Superieure. 40, 1, p. 1-50 50 p.

    Research output: Contribution to journal › Article › Research › peer review

  42. External

    Universal torsors over Del Pezzo surfaces and rational points

    Derenthal, U. & Tschinkel, Y., 2007, Equidistribution in Number Theory, An Introduction: Proceedings of the NATO Advanced Study Institute on Equidistribution in Number Theory, Montreal, Canada, 11-22 July 2005. Granville, A. & Rudnick, Z. (eds.). Dordrecht: Springer Netherlands, p. 169-196 28 p. (NATO Science Series II: Mathematics, Physics and Chemistry; vol. 237).

    Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

  43. 2006

  44. External

    Geometry of universal torsors

    Derenthal, U., 2006, Göttingen. 151 p.

    Research output: Thesis › Doctoral thesis