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The complement of the open orbit for tame quivers

Michel, Andrea (2016). The complement of the open orbit for tame quivers. (Thesis). Universität Bern, Bern

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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.

Item Type: Thesis
Dissertation Type: Single
Date of Defense: 2016
Additional Information: e-Dissertation (edbe)
Subjects: 500 Science > 510 Mathematics
Institute / Center: 08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics
Depositing User: Admin importFromBoris
Date Deposited: 25 Jan 2019 12:58
Last Modified: 07 Aug 2020 14:08
URI: https://boristheses.unibe.ch/id/eprint/895

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