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Compositions and relations in the Cremona groups

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

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

Abstract

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:03 Faculty of Medicine > Bereich Querschnittsfächer (Klinik) > Radiologie USB > Radioonkologie (Zimmermann)
Item Type:Thesis
Thesis no:11907
Bibsysno:Link to catalogue
Number of Pages:1 Online-Ressource (107 Seiten)
Language:English
Identification Number:
Last Modified:08 Mar 2017 13:48
Deposited On:07 Dec 2016 11:39

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