4 citations · 6 across the 10 of their papers we have counts for
11 papers
Maximum Likelihood Degrees via One-Edge Chordal Completion
Nilava Metya
The maximum likelihood degree of a Gaussian graphical model measures the algebraic complexity of its likelihood equations. This paper studies maximum likelihood degrees of Gaussian…
Large implies henselian
Will Johnson, Chieu-Minh Tran, Erik Walsberg +1
Fix a field . We show that is large if and only if some elementary extension of is the fraction field of a henselian local domain which is not a field. The proof uses a…
When is
Jinhe Ye, Liang Yu, Xuanheng zhao
We show that there is an additive subgroup of and such that and . However, if $A \…
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…
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…
Hyperbolicity and model-complete fields
Michał Szachniewicz, Jinhe Ye
We study model-complete fields that avoid a given quasi-project variety . There is a close connection between hyperbolicity of and the existence of the model companion for t…
Of model completeness and algebraic groups
Daniel Max Hoffmann, Piotr Kowalski, Chieu-Minh Tran +1
We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for ex…
Non-trivial higher homotopy of first-order theories
Tim Campion, Jinhe Ye
Let be the theory of dense cyclically ordered sets with at least two elements. We determine the classifying space of to be homotopically equivalent to $\mathb…
Curve-excluding fields
Will Johnson, Jinhe Ye
If is a curve over with genus at least and is empty, then the class of fields of characteristic 0 such that has a mode…
A note on geometric theories of fields
Will Johnson, Jinhe Ye
Let be a complete theory of fields, possibly with extra structure. Suppose that model-theoretic algebraic closure agrees with field-theoretic algebraic closure, or more general…
A note on -stabilizers in ACVF
Jinhe Ye
We study -stabilizers for groups definable in ACVF in the valued field sort. We prove that is an infinite unbounded definable subgroup of when is st…