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On the normality of orbit closures which are hypersurfaces

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Abstract

Let N be a quiver representation with non-zero admissible annihilator. In this paper, we prove the normality of the orbit closure \(\bar {\mathcal {O}}_{N}\) when it is a hypersurface. The result thus gives new examples of normal orbit closures of quiver representations.

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Acknowledgements

The author would like to express his gratitude to Professor Grzegorz Zwara for his guidance and support. He would also like to thank the referee for the helpful comments.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Hanoi National University of Education, 136 Xuan Thuy Road, Hanoi, Vietnam

    NGUYEN QUANG LOC

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  1. NGUYEN QUANG LOC
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Correspondence to NGUYEN QUANG LOC.

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Communicating Editor: B V Rajarama Bhat

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LOC, N.Q. On the normality of orbit closures which are hypersurfaces. Proc Math Sci 126, 35–42 (2016). https://doi.org/10.1007/s12044-015-0260-5

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  • DOI: https://doi.org/10.1007/s12044-015-0260-5

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