Abstract
To any graph G, one can associate a toric variety 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(PG) is isomorphic to a Hassett compactification of 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.
Original language | English |
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Pages (from-to) | 139-151 |
Number of pages | 13 |
Journal | Journal of Algebraic Combinatorics |
Volume | 43 |
Issue number | 1 |
DOIs | |
State | Published - Feb 1 2016 |
Bibliographical note
Publisher Copyright:© 2015, Springer Science+Business Media New York.
Keywords
- Graph associahedra
- Hassett space
- Moduli space of curves
- Permutohedron
- Toric variety
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics