On deformations of the direct sum of a regular and another indecomposable module over a tame quiver algebra
Wolters
Isabel
Wolters, Isabel
aut
2008-11-17
2009-02-24
2014-08-12
en
In the situation of finite dimensional modules over tame quiver algebras the degeneration-order
coincides with the hom-order and with the ext-order. Therefore, up to common direct summands,
any minimal degeneration N of a module M is induced by a short exact sequence with middleterm M and
indecomposable ends U and V that add up to N. We study these "building blocs" of degenerations
and in particular the codimensions for the case, where V is regular. We show by theoretical means
that the classification of all the "building blocs" is a finite problem without affecting the
codimension or the type of singularity. With the help of a computer we have analyzed completely
this case: The codimensions are bounded by 2, so that the minimal singularities are known by
G. Zwara "Codimensions two singularities for representation of extended dynkin quivers".
urn:nbn:de:hbz:468-20090102
2014-08-12T08:35:59.140Z
2014-08-12T09:50:31.302Z
published
Diss
fbc/mathematik/diss2008/wolters