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Tesi etd-05062024-113611


Tipo di tesi
Tesi di dottorato di ricerca
Autore
PIRANI, MATTIA
URN
etd-05062024-113611
Titolo
Flasque quasi-resolutions and non-surjectivity of the evaluation map for homogeneous spaces
Settore scientifico disciplinare
MAT/03
Corso di studi
MATEMATICA
Relatori
tutor Prof. Szamuely, Tamás
correlatore Prof. Gille, Philippe
Parole chiave
  • flasque quasi-resolutions
  • homogeneous spaces
  • R-equivalence
Data inizio appello
14/05/2024
Consultabilità
Non consultabile
Data di rilascio
14/05/2027
Riassunto
The aim of this thesis is the study of R-equivalence classes of homogeneous spaces. For this purpose, the author introduces the concept of flasque quasi-resolution, which generalizes the better-known flasque resolutions introduced by Colliot-Thélène. The author employs them firstly to prove a stronger version of a theorem by Colliot-Thélène and Kunyavskii. Subsequently, the question arises whether the hypotheses of the proven theorem are necessary. Then, the author constructs two examples in which removing the hypotheses causes the claim to no longer hold, first on a field of cohomological dimension 2 and then on a 2-local field.
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