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  • 2019casephd

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The essential dimension of low dimensional tori via lattices

Research output: Thesis › Doctoral Thesis

Published
Publication date2019
Number of pages182
QualificationPhD
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  • Lancaster University
<mark>Original language</mark>English

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).