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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/PreprintPreprint

  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 journalArticleResearchpeer 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 journalArticleResearchpeer 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/PreprintPreprint

  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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer 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 journalArticleResearchpeer review

  20. 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 journalArticleResearchpeer 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 journalArticleResearchpeer review

  22. Published

    Cox rings

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

    Research output: Book/ReportMonographResearchpeer 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 journalArticleResearchpeer review

  25. 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 journalArticleResearchpeer review

  26. 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 journalArticleResearchpeer review

  27. 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 journalArticleResearchpeer review

  28. 2013
  29. 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 proceedingConference contributionResearchpeer review

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