Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Ye, Jinhe"'
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 and upper bounds for the number of rational points of a difference va
Externí odkaz:
http://arxiv.org/abs/2406.00880
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-induced structure on ACF-definable sets. More precisely, we introduce a
Externí odkaz:
http://arxiv.org/abs/2405.02209
Autor:
Szachniewicz, Michał, Ye, Jinhe
We study model-complete fields that avoid a given quasi-project variety $V$. There is a close connection between hyperbolicity of $V$ and the existence of the model companion for the theory of characteristic-zero fields without rational points on $V$
Externí odkaz:
http://arxiv.org/abs/2403.15300
We show that if G is a simply connected semi-simple algebraic group and K is a model complete field, then the theory of the group G(K) is model complete as well.
Externí odkaz:
http://arxiv.org/abs/2312.08988
Autor:
Campion, Tim, Ye, Jinhe
Let $T$ be the theory of dense cyclically ordered sets with at least two elements. We determine the classifying space of $\mathsf{Mod}(T)$ to be homotopically equivalent to $\mathbb{CP}^\infty$. In particular, $\pi_2(\lvert\mathsf{Mod}(T)\rvert)=\mat
Externí odkaz:
http://arxiv.org/abs/2306.12011
Autor:
Johnson, Will, Ye, Jinhe
If $C$ is a curve over $\mathbb{Q}$ with genus at least $2$ and $C(\mathbb{Q})$ is empty, then the class of fields $K$ of characteristic 0 such that $C(K) = \varnothing$ has a model companion, which we call $C\mathrm{XF}$. The theory $C\mathrm{XF}$ i
Externí odkaz:
http://arxiv.org/abs/2303.06063
Publikováno v:
Journal de l'\'Ecole polytechnique -- Math\'ematiques, Tome 11 (2024), pp. 613-654
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists in working in the framework of stable completions of algebraic varietie
Externí odkaz:
http://arxiv.org/abs/2210.04003
We investigate the following question: Given a field $K$, when is the \'etale open topology $\mathcal{E}_K$ induced by a field topology? On the positive side, when $K$ is the fraction field of a local domain $R\neq K$, using a weak form of resolution
Externí odkaz:
http://arxiv.org/abs/2208.02398
Autor:
Johnson, Will, Ye, Jinhe
Publikováno v:
Model Th. 2 (2023) 121-132
Let $T$ be a complete theory of fields, possibly with extra structure. Suppose that model-theoretic algebraic closure agrees with field-theoretic algebraic closure, or more generally that model-theoretic algebraic closure has the exchange property. T
Externí odkaz:
http://arxiv.org/abs/2208.00586
Autor:
Gannon, Kyle, Ye, Jinhe
Motivated by the theory of domination for types, we introduce a notion of domination for Keisler measures called extension domination. We argue that this variant of domination behaves similarly to its type setting counterpart. We prove that extension
Externí odkaz:
http://arxiv.org/abs/2207.08238