Publications

Preprints:

1.  A. Genevois, A. Lonjou, C. Urech, ``'Cremona groups over finite fields, Neretin groups, and non-positively curved cube complexes''   https://arxiv.org/abs/2110.14605

2. A. Genevois, A. Lonjou, C. Urech, ``Asymptotically rigid mapping class groups II: strand diagrams and nonpositive curvature'' https://arxiv.org/abs/2110.06721


Published/accepted papers:

3. A. Liendo, R. Regeta, C. Urech, ``Characterization of affine toric varieties by their automorphism groups", https://arxiv.org/abs/1805.03991, accepted for publication in Annali della Scuola Normale Superiore di Pisa

4. A. Genevois, A. Lonjou, C. Urech, ``Asymptotically rigid mapping class groups I: Finiteness properties of braided Thompson's and Houghton's groups'', https://arxiv.org/abs/2010.07225, accepted for publication in Geometry & Topology

5. C. Urech, S. Zimmermann, ``Continuous automorphisms of Cremona groups'', https://arxiv.org/abs/1909.11050,  International Journal of Mathematics, Vol. 32, No. 04, 2150019 (2021).

6. A. Lonjou, C. Urech, ``Actions of Cremona groups on CAT(0) cube complexes'', https://arxiv.org/abs/2001.00783, accepted for publication in the Duke Mathematical Journal
7. A. Liendo, R. Regeta, C. Urech, `` On the characterization of Danielewski surfaces by their automorphism group", https://arxiv.org/abs/1905.00423, Transformation Groups (2020). https://doi.org/10.1007/s00031-020-09606-z.

8. C. Urech, ``Simple groups of birational transformations in dimension two",  https://arxiv.org/abs/1802.09258, Commentarii Mathematici Helvetici, Vol. 95, Issue 2, 2020, pp. 211–246.

9. C. Urech, ``Subgroups of elliptic elements of the Cremona group", https://arxiv.org/abs/1606.04822, Journal für die reine und angewandte Mathematik (Crelles Journal), 2021, Issue 770, pp. 27-57.

10. C. Urech, S. Zimmermann, ``A new presentation of the plane Cremona group", Proc. Amer. Math. Soc.  147  (2019),  no. 7, 2741–2755.

11. C. Urech,  ``Remarks on the degree growth of birational transformations", https://arxiv.org/abs/1802.02735, Mathematical Research Letters, Vol. 25, No. 1 (2018), pp. 291-308

12. C. Urech, ``On homomorphisms between Cremona groups", https://arxiv.org/abs/1603.03294, Annales de l'Institut Fourier, Vol. 68, No. 1 (2018), pp. 53-100.

Other texts:

C. Urech,``Subgroups of Cremona groups'', PhD Thesis at the University of Basel and the University of Rennes 1. Advisors: Jérémy Blanc and Serge Cantat.

C. Urech, ``On automorphisms of the affine Cremona group'', Master's Thesis at the University of Basel. Advisor: Hanspeter Kraft.

C. Urech, “Subgroups of elliptic elements of the plane Cremona group”, in: Oberwolfach Report 28/2018.