Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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NOTE ON THE DECOMPOSITION OF STATES

  • Received : 2017.08.08
  • Accepted : 2018.03.13
  • Published : 2018.07.31
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Abstract

We derive a sharp decomposition formula for the state polytope of the Hilbert point and the Hilbert-Mumford index of reducible varieties by using the decomposition of characters and basic convex geometry. This proof captures the essence of the decomposition of the state polytopes in general, and considerably simplifies an earlier proof by the authors which uses a careful analysis of initial ideals of reducible varieties.

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

References

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