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The complement of the open orbit for tame quivers

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BORIS DOI
10.24442/boristheses.895
Abstract
Let Q be a tame quiver and d a prehomogeneous dimension vector. We consider the complement of the open orbit of the representation space Rep (Q; d) and generalise the idea of A. Schofield to obtain for each irreducible component of codimension greater than one an ideal in the polynomial ring k [Rep (Q; d)] whose zero set is this component. Moreover, we compare our result with the one of K. Baur and L. Hille, who found for each irreducible component some defining rank conditions in case Q is the equioriented Dynkin quiver of type An.
Date of Publication
2016
Year of graduation
2016
Theses Type
dissertation
Subject(s)
500 Science > 510 Mathematics
Language(s)
en
Author(s)
Michel, Andrea
Faculty/Graduate School
Faculty of Science  
Institute
Institute of Mathematics  
Access(Rights)
open.access
Primary OA Publication
true
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