Publications of Jürgen Hausen
Research Papers
-
Markov numbers and rational C*-surfaces.
With Katharina Király and Milena Wrobel. arXiv:2405.04862
-
Full intrinsic quadrics of dimension two.
With Katharina Király. arXiv:2310.08293
-
Classifying log del Pezzo surfaces with torus action.
With Daniel Hättig and Justus Springer. arXiv:2302.03095
-
Del Pezzo surfaces of Picard number one admitting a torus action.
With Daniel Hättig, Beatrix Hafner and Justus Springer. arXiv:2207.14790
-
The automorphism group of a rational projective k*-surface.
With Timo Hummel. arXiv:2010.06414
-
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.
-
The anticanonical complex for non-degenerate toric complete intersections.
With Christian Mauz and Milena Wrobel.
Manuscripta Mathematica, 172 (2023), no. 1-2, 89-126.
-
On Gorenstein Fano threefolds.
With Andreas Bäuerle. SIGMA (Symmetry, Integrability and Geometry) 18 (2022), 088, 42 pages
-
On smooth Fano fourfolds of Picard number two.
With Antonio Laface and Christian Mauz.
Revista Matematica Iberoamericana Vol. 38 (2022), no. 1, 53-93.
-
On intrinsic quadrics.
With Anne Fahrner.
Canadian Journal of Mathematics 72 (2020), no. 1, 145-181.
-
On torus actions of higher complexity.
With Christoff Hische and Milena Wrobel.
Forum of Mathematics, Sigma (2019), Vol. 7, e38, 81 pages.
-
On blowing up the weighted projective plane.
With Simon Keicher and Antonio Laface.
Mathematische Zeitschrift 290 (2018), no. 3-4, 1339-1358.
-
On iteration of Cox rings.
With Milena Wrobel.
Journal of Pure and applied Algebra 222 (2018), no. 9, 2737-2745.
-
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.
-
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.
-
Computing automorphisms of Mori dream spaces.
With Simon Keicher and Rüdiger Wolf.
Mathematics of Computation 86 (2017), 2955-2974.
-
Non-complete rational T-varieties of complexity one.
With Milena Wrobel.
Mathematische Nachrichten 290 (2017), no. 5-6, 815-826.
-
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.
-
On cubic elliptic varieties.
With Antonio Laface, Andrea Luigi Tironi, Luca Ugaglia.
Transactions of the American Mathematical Society 368 (2016), no. 1, 689-708.
-
Computing Cox Rings.
With Simon Keicher and Antonio Laface.
Mathematics of Computation 85 (2016), no. 297, 467-502.
-
A software package for Mori dream spaces.
With Simon Keicher.
LMS Journal of Computation and Mathematics, 18 (1) (2015) 647-659.
-
On Chow quotients of torus actions.
With Hendrik Bäker and Simon Keicher.
Michigan Mathematical Journal 64 (2015), no. 3, 451-473.
-
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.
-
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.
-
Factorial algebraic group actions and categorical quotients.
With Ivan Arzhantsev and Devrim Celik. Journal of Algebra,
Volume 387, 87-98, 2013.
-
Three Lectures on Cox rings.
In: Torsors, étale homotopy and applications
to rational points. London Mathematical Society Lecture Note Series 405,
3-60, 2013.
-
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.
-
The Cox ring of the space of complete rank two collineations.
With Michael Liebendörfer. Mathematische Nachrichten 285, 974-980 (2012)
-
Multigraded Factorial Rings and Fano varieties with torus action.
With Elaine Herppich and Hendrik Süß.
Documenta Mathematica 16 (2011) 71-109.
-
The Cox ring of an algebraic variety with torus action.
With Hendrik Süß.
Advances in Mathematics 225, 977-1012 (2010)
-
On Cox rings of K3-surfaces.
With Michela Artebani and Antonio Laface.
Compositio Mathematica 146, 964-998 (2010)
-
Complete orbit spaces of affine torus actions.
International Journal of Mathematics 20, 123-137 (2009)
-
Geometric Invariant Theory via Cox Rings.
With I.V. Arzhantsev.
Journal of Pure and Applied Algebra 213, 154-172 (2009)
-
Cox rings and combinatorics II.
Moscow Mathematical Journal 8, 711-757 (2008)
-
Gluing affine torus actions via divisorial fans.
With K. Altmann and H. Süß.
Transformation Groups, Vol. 13, No. 2, 215-242 (2008)
-
On the multiplication map of a multigraded algebra.
With I.V. Arzhantsev.
Mathematical Research Letters, Vol. 14, No. 1, 129-136 (2007)
-
Cox rings and combinatorics.
With F. Berchtold. Transactions of the American
Mathematical Society, Vol. 359, No. 3, 1205-1252 (2007)
-
GIT-Equivalence beyond the ample cone.
With F. Berchtold. Michigan Mathematical Journal,
Vol. 54, No. 3, 483-516 (2006)
-
On embeddings of homogeneous spaces with small boundary.
With I.V. Arzhantsev.
Journal of Algebra, Vol. 304, No. 2, 950-988 (2006)
-
Polyhedral Divisors and Algebraic Torus Actions.
With K. Altmann. Mathematische Annalen, Vol. 334, No. 3, 557-607 (2006)
-
Geometric Invariant Theory based on Weil Divisors.
Compositio Mathematica Vol. 140, No. 6, 1518-1536 (2004)
-
Toric Invariant Theory.
With A. A'Campo-Neuen. In: J. Wisniewski (Ed.):
Algebraic Group Actions and Quotients, pp. 1-37.
Hindawi Publ. Corp. (2004)
-
Varieties with finitely generated total coordinate ring.
Mathematisches Institut, Georg-August Universität Göttingen:
Seminars, pp. 211--220.
Universitätsdrucke Göttingen (2004)
-
On embeddings into toric prevarieties.
With S. Schröer. Proceedings of the American Mathematical
Society Vol. 132, 681-685 (2004)
-
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)
-
A Hilbert-Mumford Criterion for SL2-Actions.
Colloquium Mathematicum Vol. 97, No. 2, 151-161 (2003)
-
Homogeneous coordinates for algebraic varieties.
With F. Berchtold. Journal of Algebra Vol. 266, No. 2, 636-670 (2003)
-
A general Hilbert-Mumford Criterion.
Annales de l'Institut Fourier Vol. 53, No. 3, 701-712 (2003)
-
Demushkin's Theorem in codimension one.
With F. Berchtold.
Mathematische Zeitschrift Vol. 244, No. 4, 697-703 (2003)
-
Orbit spaces of small tori.
With A. A'Campo-Neuen.
Resultate der Mathematik Vol. 43, No. 1-2, 13-22, (2003)
-
Homogeneous coordinates and quotient presentations for toric
varieties.
With A. A'Campo-Neuen und S. Schröer.
Mathematische Nachrichten Vol. 246-247, 5-19 (2002)
-
Every morphism is the restriction of a toric one.
With F. Berchtold. Mathematical Research Letters Vol. 9, No. 5-6,
633-638 (2002)
-
Equivariant embeddings into smooth toric varieties.
Canadian Journal of Mathematics Vol. 54, No. 3, 554-570 (2002)
-
Quotients of divisorial toric varieties.
With A. A'Campo-Neuen.
Michigan Mathematical Journal, Vol. 50, No. 1,
101-123 (2002)
-
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)
-
A generalization of Mumford's Geometric Invariant Theory.
Documenta Mathematica 6, 571-592 (2001)
-
Toric prevarieties and subtorus actions.
With A. A'Campo-Neuen.
Geometriae Dedicata 87, 34-65 (2001)
-
On Wlodarczyk's Embedding Theorem.
International Journal of Mathematics,
Vol. 11, No. 6, 811-836 (2000)
-
Examples and counterexamples for existence of categorical quotients.
With A. A'Campo-Neuen. Journal of Algebra Vol. 231, No. 1, 67-85
(2000)
-
Algebraicity criteria for almost homogeneous complex spaces.
Archiv der Mathematik Vol. 74, No. 4, 317-320 (2000)
-
Quasiprojective reduction of toric varieties.
With A. A'Campo-Neuen.
Mathematische Zeitschrift, Vol. 233, No. 4, 697-708 (2000)
-
Actions of compact groups on coherent sheaves. With
P. Heinzner. Transformation Groups, Vol. 4, No. 1, 25-34 (1999)
-
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)
-
C*-Surfaces with one-dimensional holomorphic hull.
With W. Glas. Abh. Math. Sem. Univ. Hamburg 68, 255-271 (1998)
-
Zur Klassifikation Glatter Kompakter C*-Flächen.
Mathematische Annalen 301, 763-769 (1995)
Books, Lecture Notes
-
Cox Rings.
With Ivan Arzhantsev, Ulrich Derenthal, and Antonio Laface.
Cambridge Studies in Advanced Mathematics, No. 144, 2014, ISBN-13: 9781107024625.
-
Lineare Algebra I.
Shaker Verlag, Aachen, 2007, vi + 217 pages,
ISBN 978-3-8322-8616-3.
-
Lineare Algebra II.
Shaker Verlag, Aachen, 2013, viii + 141 pages,
ISBN 978-3-8440-1887-5.
Software
-
MDSpackage.
A Maple Package on Mori Dream spaces.
With Simon Keicher.
-
compcox.
A Singular package for Cox ring computations.
With Ulrich Derenthal, Armand Heim, Simon Keicher, Antonio Laface.
-
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