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- W2000352692 abstract "Abstract In this note we give a brief review of the construction of a toric variety coming from a genus g ≥ 2 Riemann surface Σ g equipped with a trinion, or pair of pants, decomposition. This was outlined by J. Hurtubise and L. C. Jeffrey. A. Tyurin used this construction on a certain collection of trinion decomposed surfaces to produce a variety DM g , the so-called Delzant model of moduli space , for each genus g . We conclude this note with some basic facts about the moment polytopes of the varieties . In particular, we show that the varieties DM g constructed by Tyurin, and claimed to be smooth, are in fact singular for g ≥ 3." @default.
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- W2000352692 date "2011-09-01" @default.
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- W2000352692 title "A Note on Toric Varieties Associated with Moduli Spaces" @default.
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- W2000352692 doi "https://doi.org/10.4153/cmb-2010-109-4" @default.
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