Degenerations of real irrational toric varieties Academic Article uri icon


  • 2015 London Mathematical Society. A real irrational toric variety X is an analytic subset of the simplex associated to a finite configuration of real vectors. The positive torus acts on X by translation, and we consider limits of sequences of these translations. Our main result identifies all possible Hausdorff limits of translations of X as toric degenerations using elementary methods and the geometry of the secondary fan of the vector configuration. This generalizes work of Garca-Puente et al., who used algebraic geometry and work of Kapranov, Sturmfels and Zelevinsky, when the vectors were integral.

published proceedings

  • Journal of the London Mathematical Society

altmetric score

  • 0.5

author list (cited authors)

  • Postinghel, E., Sottile, F., & Villamizar, N.

citation count

  • 3

complete list of authors

  • Postinghel, E||Sottile, F||Villamizar, N

publication date

  • October 2015