$p$-adic differential Galois theory and Galois cohomology
Calderer i García, Genís
Crespo Vicente, Teresa
Teoria de Galois
Teoria de grups
Treballs de fi de grau
Algebraic geometry
Homology
Galois theory
Group theory
Bachelor's theses
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente
[en] The goal of this project has been to give a classification of the forms of Picard-Vessiot extensions defined over a differential field with field of constants $\mathbb{Q}_{p}$, which is not algebraically closed, and with differential Galois group $O\left(2, \mathbb{Q}_{p}\right)$ or $S O\left(2, \mathbb{Q}_{p}\right)$. To do so we present a theoretical background in algebraic geometry, group cohomology and differential Galois theory.
2022-04-05T10:14:27Z
2022-04-05T10:14:27Z
2021-06-18
info:eu-repo/semantics/bachelorThesis
http://hdl.handle.net/2445/184648
eng
cc-by-nc-nd (c) Genís Calderer i García, 2021
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
46 p.
application/pdf
2010-11-20T00:00:00Z
2012-06-18T00:00:00+02:00
Geometría algebraica
Álgebra local
2010-11-20T00:00:00Z
2012-06-18T00:00:00+02:00
Homología