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Prof. Dr.  Ulrich Derenthal

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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. External

    Geometry of universal torsors

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

    Research output: Thesis › Doctoral thesis

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

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