Jinhe Ye

collaborators

4 papers

math.LO2025

Large implies henselian

Will Johnson, Chieu-Minh Tran, Erik Walsberg +1

Fix a field $K$ . We show that $K$ is large if and only if some elementary extension of $K$ is the fraction field of a henselian local domain which is not a field. The proof uses a…

math.LO2025

When is $A + x A = R$

Jinhe Ye, Liang Yu, Xuanheng zhao

We show that there is an additive $F_{σ}$ subgroup $A$ of $R$ and $x \in R$ such that $di m_{H} (A) = \frac{1}{2}$ and $A + x A = R$ . However, if $A \…

math.NT2024

Lang-Weil Type Estimates in Finite Difference Fields

Martin Hils, Ehud Hrushovski, Jinhe Ye +1

We prove a uniform estimate of the number of points for difference algebraic varieties in finite difference fields in the spirit of Lang-Weil. More precisely, we give uniform lower…

math.LO2024

Zilber's Trichotomy in Hausdorff Geometric Structures

Benjamin Castle, Assaf Hasson, Jinhe Ye

We give a new axiomatic treatment of the Zilber trichotomy, and use it to complete the proof of the trichotomy for relics of algebraically closed fields, i.e., reducts of the ACF-i…

Large implies henselian

When is A+xA=R

Lang-Weil Type Estimates in Finite Difference Fields

Zilber's Trichotomy in Hausdorff Geometric Structures

When is $A + x A = R$