Y. Peterzil

activity

19972026

most citedDefinability of restricted theta functions and families of abelian varieties

19 citations · 56 across the 29 of their papers we have counts for

collaborators

Showing 2021 · math.LOShow all

4 papers · 2 filters

math.LO2021

Interpretable Fields in Various Valued Fields

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

Let $K = (K, v, \dots)$ be a dp-minimal expansion of a non-trivially valued field of characteristic $0$ and $F$ an infinite field interpretable in $K$ . A…

math.LO2021

Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs

Artem Chernikov, Ya'acov Peterzil, Sergei Starchenko

A theorem of Elekes and Szabó recognizes algebraic groups among certain complex algebraic varieties with maximal size intersections with finite grids. We establish a generalization…

math.LO2021★ 2 cited

Fields interpretable in $P$ -minimal fields

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

We prove that an infinite field interpretable in a $p$ -adically closed field $K$ is definably isomorphic to a finite extension of $K$ . The result remains true in any $P$ -minimal fi…

math.LO2021★ 3 cited

Interpretable fields in real closed valued fields and some expansions

Assaf Hasson, Ya'acov Peterzil

Let $M = ⟨ K; O ⟩$ be a real closed valued field and let $k$ be its residue field. We prove that every interpretable field in $M$ is definably isomorphic…

Interpretable Fields in Various Valued Fields

Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs

Fields interpretable in P-minimal fields

Interpretable fields in real closed valued fields and some expansions

Fields interpretable in $P$ -minimal fields