The essential dimension of low dimensional tori via lattices

Case, Gareth (2019) The essential dimension of low dimensional tori via lattices. PhD thesis, UNSPECIFIED.

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Abstract

The essential dimension, ed_k(G), of an algebraic group G is an invariant that measures the complexity of G-torsors over fields. The correspondence between algebraic tori and finite subgroups of GL_n(Z) means one can establish bounds on ed_k(T) of an algebraic torus T by studying the action of the corresponding subgroup of GL_n(Z).

Item Type:
Thesis (PhD)
ID Code:
139141
Deposited By:
Deposited On:
22 Nov 2019 15:10
Refereed?:
No
Published?:
Published
Last Modified:
29 May 2020 06:14