Foundations of Boij-Söderberg Theory for Grassmannians

Abstract

Foundations of Boij-Söderberg Theory for Grassmannians by Jake Levinson Chair: David E Speyer Boij-Söderberg theory characterizes syzygies of graded modules and sheaves on projective space. This thesis is concerned with extending the theory to the setting of GLk-equivariant modules and sheaves on Grassmannians Grpk,Cq. Algebraically, we study modules over a… (More)

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