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math.LO2026
Analytification and tropicalization via hyperfields and definable types
Pablo Cubides Kovacsics, Mariana Vicaría, Jinhe Ye
We study the analytification and tropicalization of algebraic varieties over valued fields via Jun's spaces of hyperfield points. Our main new objects are a family of power-tropica…
math.LO2026
A Nullstellensatz for the field of complex Laurent series
Pablo Cubides Kovacsics, Sebastián Uribe Rincón
Let be the theory of the valued field of complex Laurent series in the language of rings expanded by a constant for and by predicates for -th power…
math.LO2026
Quantifier elimination for lovely pairs of strongly geometric fields
Pablo Cubides Kovacsics, Felipe Estrada, Juan Pérez +1
Let be a complete strongly geometric theory of fields with quantifier elimination. We show that the theory of lovely pairs of has quantifier elimination in Delon's definiti…