Interpretable fields in various valued fields
Y Halevi, A Hasson, Y Peterzil - Advances in Mathematics, 2022 - Elsevier
Abstract Let K=(K, v,…) be a dp-minimal expansion of a non-trivially valued field of
characteristic 0 and F an infinite field interpretable in K. Assume that K is one of the …
characteristic 0 and F an infinite field interpretable in K. Assume that K is one of the …
Strongly minimal groups in o-minimal structures
P Eleftheriou, A Hasson, Y Peterzil - arXiv preprint arXiv:1810.01650, 2018 - arxiv.org
We prove Zilber's Trichotomy Conjecture for strongly minimal expansions of two-
dimensional groups, definable in o-minimal structures: Theorem. Let M be an o-minimal …
dimensional groups, definable in o-minimal structures: Theorem. Let M be an o-minimal …
Incidence systems on Cartesian powers of algebraic curves
A Hasson, D Sustretov - Journal of the European Mathematical Society, 2024 - ems.press
Incidence systems on Cartesian powers of algebraic curves Page 1 © 2024 European
Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI 10.4171/JEMS/1472 …
Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI 10.4171/JEMS/1472 …
Strongly minimal reducts of valued fields
P Kowalski, S Randriambololona - The Journal of Symbolic Logic, 2016 - cambridge.org
STRONGLY MINIMAL REDUCTS OF VALUED FIELDS §1. Introduction. In 1980s, Zilber posed
a conjecture [24] asserting that if a strong Page 1 The Journal of Symbolic Logic Volume 81 …
a conjecture [24] asserting that if a strong Page 1 The Journal of Symbolic Logic Volume 81 …
The O-minimal Zilber Conjecture in Higher Dimensions
B Castle - arXiv preprint arXiv:2406.09285, 2024 - arxiv.org
We prove the higher dimensional case of the o-minimal variant of Zilber's Restricted
Trichotomy Conjecture. More precisely, let $\mathcal R $ be an o-minimal expansion of a …
Trichotomy Conjecture. More precisely, let $\mathcal R $ be an o-minimal expansion of a …
Strongly Minimal Relics of T-convex Fields
B Castle, A Hasson - arXiv preprint arXiv:2410.22442, 2024 - arxiv.org
Generalizing previous work on algebraically closed valued fields (ACVF) and o-minimal
fields, we study strongly minimal relics of real closed valued fields (RCVF), and more …
fields, we study strongly minimal relics of real closed valued fields (RCVF), and more …
Fields interpretable in -minimal fields
Y Halevi, A Hasson, Y Peterzil - arXiv preprint arXiv:2103.15198, 2021 - arxiv.org
arXiv:2103.15198v1 [math.LO] 28 Mar 2021 Page 1 arXiv:2103.15198v1 [math.LO] 28 Mar
2021 FIELDS INTERPRETABLE IN P-MINIMAL FIELDS YATIR HALEVI, ASSAF HASSON …
2021 FIELDS INTERPRETABLE IN P-MINIMAL FIELDS YATIR HALEVI, ASSAF HASSON …
Additive reducts of real closed fields and strongly bounded structures
H Abu Saleh, Y Peterzil - Model Theory, 2023 - msp.org
Given a real closed field R, we identify exactly four proper reducts of R which expand the
underlying (unordered) R-vector space structure. Towards this theorem we introduce the …
underlying (unordered) R-vector space structure. Towards this theorem we introduce the …
Reducts of Hrushovski's constructions of a higher geometrical arity
A Hasson, O Mermelstein - arXiv preprint arXiv:1709.07209, 2017 - arxiv.org
Let $\mathbb {M} _n $ denote the structure obtained from Hrushovski's (non collapsed)
construction with an n-ary relation and $ PG (\mathbb {M} _n) $ its associated pre-geometry …
construction with an n-ary relation and $ PG (\mathbb {M} _n) $ its associated pre-geometry …
[图书][B] Higher Dimensional Trichotomy Conjectures in Model Theory
B Castle - 2021 - search.proquest.com
In this thesis we study the Restricted Trichotomy Conjectures for algebraically closed and o-
minimal fields. These conjectures predict a classification of all sufficiently complex, that is …
minimal fields. These conjectures predict a classification of all sufficiently complex, that is …