An orbit closure for a representation of the Kronecker quiver with bad singularities

• Autorzy: Grzegorz Zwara
• Języki publikacji: EN

Abstrakty

EN

We give an example of a representation of the Kronecker quiver for which the closure of the corresponding orbit contains a singularity smoothly equivalent to the isolated singularity of two planes crossing at a point. Therefore this orbit closure is neither Cohen-Macaulay nor unibranch.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 14B05: Singularities
• 14L30: Group actions on varieties or schemes (quotients)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 97
• Numer: 1
• Strony: 81-86

Daty

wydano

2003

Twórcy

autor

Grzegorz Zwara

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm97-1-8