Compositions and relations in the Cremona groups

Zimmermann, Susanna. Compositions and relations in the Cremona groups. 2016, Doctoral Thesis, University of Basel, Faculty of Science.


Official URL: http://edoc.unibas.ch/diss/DissB_11907

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The Cremona group is the group of biraitonal symmetries of the projective space of dimension n. After an introduction, the thesis contains the proof that the complex Cremona group of the plane is compactly presented. It also presents the abelianisation of the real Cremona group of the plane. The last part consists of a speculative look at specific Cremona transformations of higher dimensional projective spaces, the so called punctual transformations.
Advisors:Blanc, Jérémy and Dolgachev, Igor V. and Prokhorov, Yuri
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebraische Geometrie (Blanc)
UniBasel Contributors:Zimmermann, Susanna and Blanc, Jérémy
Item Type:Thesis
Thesis Subtype:Doctoral Thesis
Thesis no:11907
Thesis status:Complete
Number of Pages:1 Online-Ressource (107 Seiten)
Identification Number:
edoc DOI:
Last Modified:27 Feb 2020 13:11
Deposited On:07 Dec 2016 11:39

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