ETD

Archivio digitale delle tesi discusse presso l'Università di Pisa

Tesi etd-06262015-122740


Tipo di tesi
Tesi di laurea magistrale
Autore
LACINI, JUSTIN
URN
etd-06262015-122740
Titolo
On the essential dimension of central simple algebras
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Vistoli, Angelo
Parole chiave
  • central simple algebras
  • essential dimension
Data inizio appello
17/07/2015
Consultabilità
Completa
Riassunto
The essential dimension of an algebraic object is a formalization of the familiar concept of minimal number of 'parameters' needed to describe it and thus gives an idea of the complexity of its structure.
This thesis is concerned with the essential dimension of central simple algebras. In the first part I describe the general theory of central simple algebras and essential dimension, while in the second I present the best bounds to the essential dimension of central simple algebras obtained so far, mainly due to Z.Reichstein and A.Merkurjev.
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