TY  - THES
AB  - 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 $S$.
DA  - 2013
KW  - obstructions
KW  - cotangent braid
KW  - diagrams of ringed topoi
KW  - deformation theory
KW  - obstruction theory
KW  - cotangent complex
KW  - diagrams of schemes
KW  - deformations
KW  - diagrams
LA  - eng
PY  - 2013
TI  - Obstruction groups for extending deformations of subdiagrams to deformations of diagrams in the categories of ringed topoi and schemes
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:361-26237940
Y2  - 2024-11-21T16:19:21
ER  -