Degenerations of real irrational toric varieties

作者:Postinghel E*; Sottile F; Villamizar N
来源:Journal of the London Mathematical Society-Second Series, 2015, 92(2): 223-241.
DOI:10.1112/jlms/jdv024

摘要

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 Garcia-Puente et al., who used algebraic geometry and work of Kapranov, Sturmfels and Zelevinsky, when the vectors were integral.

  • 出版日期2015-10