Publications of Jürgen Hausen

Research Papers

  1. Markov numbers and rational C*-surfaces. With Katharina Király and Milena Wrobel. arXiv:2405.04862
  2. Classifying log del Pezzo surfaces with torus action. With Daniel Hättig and Justus Springer. arXiv:2302.03095
  3. Del Pezzo surfaces of Picard number one admitting a torus action. With Daniel Hättig, Beatrix Hafner and Justus Springer. arXiv:2207.14790
  4. The automorphism group of a rational projective k*-surface. With Timo Hummel. arXiv:2010.06414
  5. Full intrinsic quadrics of dimension two. With Katharina Király. New York Journal of Mathematics, to appear.
  6. Log del Pezzo C*-surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics. With Daniel Hättig and Hendrik Süß. Michigan Mathematical Journal, to appear.
  7. The anticanonical complex for non-degenerate toric complete intersections. With Christian Mauz and Milena Wrobel. Manuscripta Mathematica, 172 (2023), no. 1-2, 89-126.
  8. On Gorenstein Fano threefolds. With Andreas Bäuerle. SIGMA (Symmetry, Integrability and Geometry) 18 (2022), 088, 42 pages
  9. On smooth Fano fourfolds of Picard number two. With Antonio Laface and Christian Mauz. Revista Matematica Iberoamericana Vol. 38 (2022), no. 1, 53-93.
  10. On intrinsic quadrics. With Anne Fahrner. Canadian Journal of Mathematics 72 (2020), no. 1, 145-181.
  11. On torus actions of higher complexity. With Christoff Hische and Milena Wrobel. Forum of Mathematics, Sigma (2019), Vol. 7, e38, 81 pages.
  12. On blowing up the weighted projective plane. With Simon Keicher and Antonio Laface. Mathematische Zeitschrift 290 (2018), no. 3-4, 1339-1358.
  13. On iteration of Cox rings. With Milena Wrobel. Journal of Pure and applied Algebra 222 (2018), no. 9, 2737-2745.
  14. Smooth projective varieties with a torus action of complexity 1 and Picard number 2. With Anne Fahrner and Michele Nicolussi. Annali della Scuola Normale Superiore di Pisa 18 (2018), no. 2, 611-651.
  15. Log terminal singularities, platonic tuples and iteration of Cox rings. With Ivan Arzhantsev, Lukas Braun and Milena Wrobel. European Journal of Mathematics 4 (2018), no. 1, 242-312.
  16. Computing automorphisms of Mori dream spaces. With Simon Keicher and Rüdiger Wolf. Mathematics of Computation 86 (2017), 2955-2974.
  17. Non-complete rational T-varieties of complexity one. With Milena Wrobel. Mathematische Nachrichten 290 (2017), no. 5-6, 815-826.
  18. On terminal Fano 3-folds with 2-torus action. With Benjamin Bechtold, Elaine Huggenberger and Michele Nicolussi. International Mathematics Research Notices, IMRN 2016 (5), 1563-1602 and Corrigendum IMRN 2017, no. 19, 6086-6087.
  19. On cubic elliptic varieties. With Antonio Laface, Andrea Luigi Tironi, Luca Ugaglia. Transactions of the American Mathematical Society 368 (2016), no. 1, 689-708.
  20. Computing Cox Rings. With Simon Keicher and Antonio Laface. Mathematics of Computation 85 (2016), no. 297, 467-502.
  21. A software package for Mori dream spaces. With Simon Keicher. LMS Journal of Computation and Mathematics, 18 (1) (2015) 647-659.
  22. On Chow quotients of torus actions. With Hendrik Bäker and Simon Keicher. Michigan Mathematical Journal 64 (2015), no. 3, 451-473.
  23. Cox rings of cubic surfaces and Fano threefolds. With Ulrich Derenthal, Armand Heim, Simon Keicher and Antonio Laface. Journal of Algebra, Volume 436, 228-276, 2015.
  24. The automorphism group of a variety with torus action of complexity one. With Ivan Arzhantsev, Elaine Herppich, Alvaro Liendo. Moscow Mathematical Journal, Volume 14, 429-471, 2014.
  25. Factorial algebraic group actions and categorical quotients. With Ivan Arzhantsev and Devrim Celik. Journal of Algebra, Volume 387, 87-98, 2013.
  26. Three Lectures on Cox rings. In: Torsors, étale homotopy and applications to rational points. London Mathematical Society Lecture Note Series 405, 3-60, 2013.
  27. Factorially graded rings of complexity one. With Elaine Herppich. In: Torsors, étale homotopy and applications to rational points. London Mathematical Society Lecture Note Series 405, 414-428, 2013.
  28. The Cox ring of the space of complete rank two collineations. With Michael Liebendörfer. Mathematische Nachrichten 285, 974-980 (2012)
  29. Multigraded Factorial Rings and Fano varieties with torus action. With Elaine Herppich and Hendrik Süß. Documenta Mathematica 16 (2011) 71-109.
  30. The Cox ring of an algebraic variety with torus action. With Hendrik Süß. Advances in Mathematics 225, 977-1012 (2010)
  31. On Cox rings of K3-surfaces. With Michela Artebani and Antonio Laface. Compositio Mathematica 146, 964-998 (2010)
  32. Complete orbit spaces of affine torus actions. International Journal of Mathematics 20, 123-137 (2009)
  33. Geometric Invariant Theory via Cox Rings. With I.V. Arzhantsev. Journal of Pure and Applied Algebra 213, 154-172 (2009)
  34. Cox rings and combinatorics II. Moscow Mathematical Journal 8, 711-757 (2008)
  35. Gluing affine torus actions via divisorial fans. With K. Altmann and H. Süß. Transformation Groups, Vol. 13, No. 2, 215-242 (2008)
  36. On the multiplication map of a multigraded algebra. With I.V. Arzhantsev. Mathematical Research Letters, Vol. 14, No. 1, 129-136 (2007)
  37. Cox rings and combinatorics. With F. Berchtold. Transactions of the American Mathematical Society, Vol. 359, No. 3, 1205-1252 (2007)
  38. GIT-Equivalence beyond the ample cone. With F. Berchtold. Michigan Mathematical Journal, Vol. 54, No. 3, 483-516 (2006)
  39. On embeddings of homogeneous spaces with small boundary. With I.V. Arzhantsev. Journal of Algebra, Vol. 304, No. 2, 950-988 (2006)
  40. Polyhedral Divisors and Algebraic Torus Actions. With K. Altmann. Mathematische Annalen, Vol. 334, No. 3, 557-607 (2006)
  41. Geometric Invariant Theory based on Weil Divisors. Compositio Mathematica Vol. 140, No. 6, 1518-1536 (2004)
  42. Toric Invariant Theory. With A. A'Campo-Neuen. In: J. Wisniewski (Ed.): Algebraic Group Actions and Quotients, pp. 1-37. Hindawi Publ. Corp. (2004)
  43. Varieties with finitely generated total coordinate ring. Mathematisches Institut, Georg-August Universität Göttingen: Seminars, pp. 211--220. Universitätsdrucke Göttingen (2004)
  44. On embeddings into toric prevarieties. With S. Schröer. Proceedings of the American Mathematical Society Vol. 132, 681-685 (2004)
  45. Bunches of cones in the divisor class group - A new combinatorial language for toric varieties. With F. Berchtold. International Mathematics Research Notices Vol. 2004, No. 6, 261-302 (2004)
  46. A Hilbert-Mumford Criterion for SL2-Actions. Colloquium Mathematicum Vol. 97, No. 2, 151-161 (2003)
  47. Homogeneous coordinates for algebraic varieties. With F. Berchtold. Journal of Algebra Vol. 266, No. 2, 636-670 (2003)
  48. A general Hilbert-Mumford Criterion. Annales de l'Institut Fourier Vol. 53, No. 3, 701-712 (2003)
  49. Demushkin's Theorem in codimension one. With F. Berchtold. Mathematische Zeitschrift Vol. 244, No. 4, 697-703 (2003)
  50. Orbit spaces of small tori. With A. A'Campo-Neuen. Resultate der Mathematik Vol. 43, No. 1-2, 13-22, (2003)
  51. Homogeneous coordinates and quotient presentations for toric varieties. With A. A'Campo-Neuen und S. Schröer. Mathematische Nachrichten Vol. 246-247, 5-19 (2002)
  52. Every morphism is the restriction of a toric one. With F. Berchtold. Mathematical Research Letters Vol. 9, No. 5-6, 633-638 (2002)
  53. Equivariant embeddings into smooth toric varieties. Canadian Journal of Mathematics Vol. 54, No. 3, 554-570 (2002)
  54. Quotients of divisorial toric varieties. With A. A'Campo-Neuen. Michigan Mathematical Journal, Vol. 50, No. 1, 101-123 (2002)
  55. Producing good quotients by embedding into toric varieties. In: L. Bonavero, M. Brion (Eds.): Geometry of Toric Varieties. Seminaires et Congres 6, 193-212 (2002)
  56. A generalization of Mumford's Geometric Invariant Theory. Documenta Mathematica 6, 571-592 (2001)
  57. Toric prevarieties and subtorus actions. With A. A'Campo-Neuen. Geometriae Dedicata 87, 34-65 (2001)
  58. On Wlodarczyk's Embedding Theorem. International Journal of Mathematics, Vol. 11, No. 6, 811-836 (2000)
  59. Examples and counterexamples for existence of categorical quotients. With A. A'Campo-Neuen. Journal of Algebra Vol. 231, No. 1, 67-85 (2000)
  60. Algebraicity criteria for almost homogeneous complex spaces. Archiv der Mathematik Vol. 74, No. 4, 317-320 (2000)
  61. Quasiprojective reduction of toric varieties. With A. A'Campo-Neuen. Mathematische Zeitschrift, Vol. 233, No. 4, 697-708 (2000)
  62. Actions of compact groups on coherent sheaves. With P. Heinzner. Transformation Groups, Vol. 4, No. 1, 25-34 (1999)
  63. Quotients of toric varieties by the action of a subtorus. With A. A'Campo-Neuen. Tohoku Mathematical Journal, Vol. 51, No. 1, 1-12 (1999)
  64. C*-Surfaces with one-dimensional holomorphic hull. With W. Glas. Abh. Math. Sem. Univ. Hamburg 68, 255-271 (1998)
  65. Zur Klassifikation Glatter Kompakter C*-Flächen. Mathematische Annalen 301, 763-769 (1995)

Books, Lecture Notes

  1. Cox Rings. With Ivan Arzhantsev, Ulrich Derenthal, and Antonio Laface. Cambridge Studies in Advanced Mathematics, No. 144, 2014, ISBN-13: 9781107024625.
  2. Lineare Algebra I. Shaker Verlag, Aachen, 2007, vi + 217 pages, ISBN 978-3-8322-8616-3.
  3. Lineare Algebra II. Shaker Verlag, Aachen, 2013, viii + 141 pages, ISBN 978-3-8440-1887-5.

Software

  1. MDSpackage. A Maple Package on Mori Dream spaces. With Simon Keicher.
  2. compcox. A Singular package for Cox ring computations. With Ulrich Derenthal, Armand Heim, Simon Keicher, Antonio Laface.
  3. TorDiv. A Maple Package on Toric Geometry and Geometric Invariant Theory. With Simon Keicher, Robert Vollmert, Florian Berchtold, and Marcel Widmann
Fachbereich Mathematik, Universität Tübingen, updated: 21st century