Diagonal splittings of toric varieties and unimodularity

  title={Diagonal splittings of toric varieties and unimodularity},
  author={Jed Chou and Milena Hering and Sam Payne and Rebecca Tramel and Ben Whitney},
We use a polyhedral criterion for the existence of diagonal splittings to investigate which toric varieties X are diagonally split. Our results are stated in terms of the vector configuration given by primitive generators of the 1-dimensional cones in the fan defining X. We show, in particular, that X is diagonally split at all q if and only if this configuration is unimodular, and X is not diagonally split at any q if this configuration is not 2-regular. We also study implications for the… 
2 Citations

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Theory of linear and integer programming

  • A. Schrijver
  • Mathematics
    Wiley-Interscience series in discrete mathematics and optimization
  • 1999
Introduction and Preliminaries. Problems, Algorithms, and Complexity. LINEAR ALGEBRA. Linear Algebra and Complexity. LATTICES AND LINEAR DIOPHANTINE EQUATIONS. Theory of Lattices and Linear