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< dc:creator > Calderer i García, Genís </ dc:creator >
< dc:contributor > Crespo Vicente, Teresa </ dc:contributor >
< dc:subject > Geometria algebraica </ dc:subject >
< dc:subject > Homologia </ dc:subject >
< dc:subject > Teoria de Galois </ dc:subject >
< dc:subject > Teoria de grups </ dc:subject >
< dc:subject > Treballs de fi de grau </ dc:subject >
< dc:subject > Algebraic geometry </ dc:subject >
< dc:subject > Homology </ dc:subject >
< dc:subject > Galois theory </ dc:subject >
< dc:subject > Group theory </ dc:subject >
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< dc:description > [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. </ dc:description >
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