Patterns of families of del-Pezzo quivers

Families of del-Pezzo quivers

There are families of quivers related to certain geometric surfaces. These are what we call del-Pezzo quivers. Quivers in a given family are related by mutation. It is possible to move from one quiver to another quiver within the same family through various steps of mutation.

The relationship between quivers of a given family has been represented by family tree diagrams, in which different patterns are displayed depending on the given family of quivers.

Patterns for P1XP1

Patterns for P2

Patterns for P2 blown up at one point

Patterns for P2 blown up at two points

Patterns for P2 blown up at three points

Patterns for P2 blown up at four points

Patterns for P2 blown up at five points

Patterns for P2 blown up at six points

Patterns for P2 blown up at seven points

Patterns for P2 blown up at eight points

 

 


 

 

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