Representations of Algebras and Related Topics

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pp: 661–725

DOI: 10.4171/101-1/13

Singularities of orbit closures in module varieties

Grzegorz Zwara[1]

(1) Nicolaus Copernicus University, Torun, Poland

Finite dimensional modules (or representations of quivers) form affine varieties equipped with algebraic group actions, such that the orbits correspond bijectively to the isomorphism classes of modules. The Zariski-closures of orbits are the objects of our interest. We study their geometric properties and relate them to properties of the corresponding modules.

Keywords: Modules, representations, orbit closures, singularities