Alejandro Soto
University of Tübingen
6 Papers
28 Citations
Alejandro Soto is an academic researcher from University of Tübingen. The author has contributed to research in topics: Toric variety & Valuation ring. The author has an hindex of 4, co-authored 6 publications.
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Papers
Non-Archimedean and tropical theta functions
TL;DR: In this paper, a tropicalization procedure for theta functions on abelian varieties over a non-Archimedean field was defined, and it was shown that the tropicalization of theta function is a Riemann-theta function with scaling and an additive constant.
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Classification of normal toric varieties over a valuation ring of rank one
Walter Gubler,Alejandro Soto +1 more
TL;DR: In this paper, the authors generalize this classification to normal toric varieties over an arbitrary valuation ring of rank one, based on a generalization of Sumihiro's theorem to this non-noetherian setting.
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Non-Archimedean and tropical theta functions
TL;DR: In this article, a tropicalization procedure for theta functions on abelian varieties over a non-Archimedean field is defined, and the tropicalization of theta function is shown to be a tropical function.
12
Nagata’s Compactification Theorem for Normal Toric Varieties over a Valuation Ring of Rank One
TL;DR: In this paper, it was shown that every normal toric variety over a valuation ring of rank one can be embedded as an open dense subset into a proper toric varieties equivariantly.
3
On the Completion of Normal Toric Schemes Over Rank One Valuation Rings
Alejandro Soto
- 01 Jan 2018
TL;DR: In this article, the authors generalized Sumihiro's theorem to the setting of normal toric schemes over valuation rings of rank one and gave a general framework for the study of toric degenerations.