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The essential dimension of low dimensional tori via lattices

Research output: Thesis › Doctoral Thesis

Published

Standard

The essential dimension of low dimensional tori via lattices. / Case, Gareth.
Lancaster University, 2019. 182 p.

Research output: Thesis › Doctoral Thesis

Harvard

Case, G 2019, 'The essential dimension of low dimensional tori via lattices', PhD, Lancaster University. https://doi.org/10.17635/lancaster/thesis/785

APA

Case, G. (2019). The essential dimension of low dimensional tori via lattices. [Doctoral Thesis, Lancaster University]. Lancaster University. https://doi.org/10.17635/lancaster/thesis/785

Vancouver

Case G. The essential dimension of low dimensional tori via lattices. Lancaster University, 2019. 182 p. doi: 10.17635/lancaster/thesis/785

Author

Case, Gareth. / The essential dimension of low dimensional tori via lattices. Lancaster University, 2019. 182 p.

Bibtex

@phdthesis{492e7190d5f84d40b1eddbb6ae098fc7,
title = "The essential dimension of low dimensional tori via lattices",
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).",
author = "Gareth Case",
year = "2019",
doi = "10.17635/lancaster/thesis/785",
language = "English",
publisher = "Lancaster University",
school = "Lancaster University",

}

RIS

TY - BOOK

T1 - The essential dimension of low dimensional tori via lattices

AU - Case, Gareth

PY - 2019

Y1 - 2019

N2 - 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).

AB - 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).

U2 - 10.17635/lancaster/thesis/785

DO - 10.17635/lancaster/thesis/785

M3 - Doctoral Thesis

PB - Lancaster University

ER -