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On deformations of the direct sum of a regular and another indecomposable module over a tame quiver algebra / Isabel Wolters. 2008
Inhalt
Introduction
Basics about tame path algebras
Quivers and their representations
Auslander-Reiten Translation
Types of indecomposables
Deformations of U V for regular modules U and V
First observations and notations
Construction of a complete list of deformations of U V
Example
Deformations of U V for preprojective U and regular V
First observations and notations
Proof of Theorem 4.1
The Codimension
Deformations and extensions
Example: 7
Period 4
Period 3
Period 2
Some geometric aspects
Types of singularities
Transversal slices
Example
Degeneration diagrams
1
2
U = a1
3
U = a1
4
U = a1
U = b
5
U = a1
U = b1
6
U = a1
U = b1
U = c
7
U = a1
U = b1
U = c1
8
U = a1
U = b1
U = c1
U = d
6
U = a1
U = a2
U = d
7
U = a1
U = a2
U = a3
U = d
U = c
8
U = a1
U = a2
U = d
U = b5
U = b4
U = b3
U = b2
U = b1
U = c
Literatur