%% -*-BibTeX-*-

  author       = "Christian Haase and Andreas Paffenholz and Lindsay C. Piechnik and Francisco Santos",
  title        = "Existence of unimodular triangulations - positive results",
  month        = may,
  year         = "2014",
  abstract     = "Unimodular triangulations of lattice polytopes and their relatives arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. Presumably, {"}most{"} lattice polytopes do not admit a unimodular triangulation. In this article, we survey which classes of polytopes are known to have unimodular triangulations; among them some new classes, and some not so new which have not been published elsewhere. We include a new proof of the classical result by Knudsen-Munford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.",
  comments     = "82 pages; updated since v1 did not contain the bibliography due to a LaTeX mistake",
  eprint       = "1405.1687",
  eprintclass  = "math.CO",
  eprinttype   = "arxiv",
  oai2identifier = "1405.1687",