### Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes

Beutel T (2013)
Bielefeld: Universität Bielefeld.

Bielefelder E-Dissertation | Englisch

Autor*in
Betreuer*in
Rollenske, Sönke; Christophersen, Jan Arthur
Einrichtung
Abstract / Bemerkung
In this thesis we exhibit an obstruction group for the following deformation theoretic problem. Given a diagram and a subdiagram of ringed topoi over a fixed ringed topos $\mathcal{S}$ and given a deformation $\xi$ of the subdiagram, what is an obstruction group for finding a deformation of the diagram reducing to the given deformation $\xi$ of the subdiagram? We will calculate this obstruction group for a large variety of interesting cases as explicitly as possible. The results hold as well in the case of diagrams and subdiagrams of schemes over a fixed scheme $S$.
Stichworte
obstructions; cotangent braid; diagrams of ringed topoi; deformation theory; obstruction theory; cotangent complex; diagrams of schemes; deformations; diagrams
Jahr
2013
Page URI
https://pub.uni-bielefeld.de/record/2623794

### Zitieren

Beutel T. Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes. Bielefeld: Universität Bielefeld; 2013.
Beutel, T. (2013). Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes. Bielefeld: Universität Bielefeld.
Beutel, T. (2013). Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes. Bielefeld: Universität Bielefeld.
Beutel, T., 2013. Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes, Bielefeld: Universität Bielefeld.
T. Beutel, Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes, Bielefeld: Universität Bielefeld, 2013.
Beutel, T.: Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes. Universität Bielefeld, Bielefeld (2013).
Beutel, Tristan. Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes. Bielefeld: Universität Bielefeld, 2013.
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Access Level
Open Access