The complement of the open orbit for tame quivers

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)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Michel, Andrea and Riedtmann, Christine

Subjects:

500 Science > 510 Mathematics

Language:

English

Submitter:

Igor Hammer

Date Deposited:

11 Nov 2016 14:30

Last Modified:

11 Nov 2016 14:30

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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