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- W1905982760 abstract "To any graph G, one can associate a toric variety $$X(mathcal {P}G)$$X(PG), obtained as a blowup of projective space along coordinate subspaces corresponding to connected subgraphs of G. The polytopes of these toric varieties are the graph associahedra, a class of polytopes that includes the permutohedron, associahedron, and stellahedron. We show that the space $$X(mathcal {P}{G})$$X(PG) is isomorphic to a Hassett compactification of $$M_{0,n}$$M0,n precisely when G is an iterated cone over a discrete set. This may be viewed as a generalization of the well-known fact that the Losev---Manin moduli space is isomorphic to the toric variety associated with the permutohedron." @default.
- W1905982760 created "2016-06-24" @default.
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- W1905982760 date "2015-08-26" @default.
- W1905982760 modified "2023-09-26" @default.
- W1905982760 title "Toric graph associahedra and compactifications of $$M_{0,n}$$" @default.
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- W1905982760 doi "https://doi.org/10.1007/s10801-015-0629-7" @default.
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