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

Tom 97 / 2003

Grzegorz Zwara Colloquium Mathematicum 97 (2003), 81-86 MSC: 14B05, 14L30, 16G20. DOI: 10.4064/cm97-1-8

Streszczenie

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.

Autorzy

  • Grzegorz ZwaraFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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