11 citations · 15 across the 2 of their papers we have counts for
3 papers
math.AG2017★ 11 cited
Non-Archimedean and tropical theta functions
Tyler Foster, Joseph Rabinoff, Farbod Shokrieh +1
We define a tropicalization procedure for theta functions on abelian varieties over a non-Archimedean field. We show that the tropicalization of a non-Archimedean theta function is…
math.AG2016
Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one
Alejandro Soto
We prove, using invariant Zariski-Riemann spaces, that every normal toric variety over a valuation ring of rank one can be embedded as an open dense subset into a proper toric vari…
math.AG2013★ 4 cited
Classification of normal toric varieties over a valuation ring of rank one
Walter Gubler, Alejandro Soto
Normal toric varieties over a field or a discrete valuation ring are classified by rational polyhedral fans. We generalize this classification to normal toric varieties over an arb…