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Quiver Quotient Varieties and Complete Intersections

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Abstract

In this paper, we classify all the symmetric quivers and corresponding dimension vectors whose quotient space, classifying the semisimple representation classes, is a complete intersection. The result we obtain is that such quivers can be reduced to a few number of basic quivers, using some elementary types of reduction.

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Authors and Affiliations

  1. Universiteit Antwerpen, B-2610, Antwerp, Belgium

    Raf Bocklandt

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  1. Raf Bocklandt
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Correspondence to Raf Bocklandt.

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Mathematics Subject Classification (2000)

16G20.

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Bocklandt, R. Quiver Quotient Varieties and Complete Intersections. Algebr Represent Theor 8, 127–145 (2005). https://doi.org/10.1007/s10468-004-8324-8

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  • DOI: https://doi.org/10.1007/s10468-004-8324-8

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