Publication Date:
2015-09-20
Description:
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.
Print ISSN:
0024-6107
Electronic ISSN:
1469-7750
Topics:
Mathematics
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