Michel, Andrea (2016). The complement of the open orbit for tame quivers. (Dissertation, Universität Bern, Pilosophisch-naturwissenschaftliche Fakultät, Mathematisches Institut)
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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) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Michel, Andrea, Riedtmann, Christine |
Subjects: |
500 Science > 510 Mathematics |
Language: |
English |
Submitter: |
Igor Peter Hammer |
Date Deposited: |
11 Nov 2016 14:30 |
Last Modified: |
05 Dec 2022 14:59 |
URN: |
urn:nbn:ch:bel-bes-2429 |
Additional Information: |
e-Dissertation (edbe) |
BORIS DOI: |
10.7892/boris.90078 |
URI: |
https://boris.unibe.ch/id/eprint/90078 |
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