Asymptotics of Equivariant Syzygies.

Asymptotics;Syzygy;General Linear Groups;Normalized Torus Weights;Mathematics;Science;Mathematics

Zhou, XinSpeyer, David E. ;

University of Michigan

关键词: Asymptotics;    Syzygy;    General Linear Groups;    Normalized Torus Weights;    Mathematics;    Science;    Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/108798/paulxz_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

In the present thesis we study the asymptotics of equivariant syzygies. We study asymptotics in two settings, in the general linear group setting and in the toric setting. In the general linear group setting, we give characterization of growth ofcomplexities of syzygies. In the toric setting, we give the closure of the distribution of torus weights after normalization.