Toric graph associahedra and compactifications of M0,n

Rodrigo Ferreira da Rosa, David Jensen, Dhruv Ranganathan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 languageEnglish
Pages (from-to)139-151
Number of pages13
JournalJournal of Algebraic Combinatorics
Volume43
Issue number1
DOIs
StatePublished - 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

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