McKay's Correspondence for Klein's Quartic Curve.

[摘要] The main result of the thesis is a novel construction of several vector bundles onKlein;;s quartic curve which are $PSL_2(bb{F}_7)$-invariant, stable, and of degree zero. Thestudy of such bundles is motivated by the conjectural McKay Correspondence.

[发布机构] University of Michigan

[效力级别] Klein"

[关键词] McKay Correspondence;Klein"s Quartic;Stable Bundles;Cohen-Macaulay Modules;Narasimhan-Seshadri Theorem;Fuchsian Singularities;Mathematics;Science;Mathematics