Degenerations of real irrational toric varieties
journal contributionposted on 02.06.2017 by Elisa Postinghel, Frank Sottile, Nelly Villamizar
Any type of content formally published in an academic journal, usually following a peer-review process.
© 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 García-Puente et al., who used algebraic geometry and work of Kapranov, Sturmfels and Zelevinsky, when the vectors were integral.
- Mathematical Sciences