10 citations · 31 across the 28 of their papers we have counts for
33 papers
On differentiability in weakly o-minimal expansions of fields
Juan Pablo Acosta, Yatir Halevi, Assaf Hasson +2
We show that every definable function in a weakly o-minimal expansion of a field is generically differentiable, where the derivative takes values in the Cauchy completion of $K…
A note on uniform finiteness in weakly o-minimal theories
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
For an -saturated weakly o-minimal expansion of an ordered group , it is shown that has uniform finiteness if and only if the colle…
A curve and its abstract generalized Jacobian
Benjamin Castle, Ishai Dan-Cohen, Assaf Hasson
To a smooth proper curve over a field equipped with a -point and an effective divisor coprime to , one may associate the abstract group $J_{\mathfra…
Topologically 1-based T-minimal Structures
Benjamin Castle, Assaf Hasson, Will Johnson
We prove group existence and structure theorems in a general setting of tame topological theories. More precisely, we identify a linear/non-linear dividing line -- called topologic…
Reconstructing Abelian Varieties via Model Theory
Benjamin Castle, Assaf Hasson
In 2012, Zilber used model-theoretic techniques to show that a curve of high genus over an algebraically closed field is determined by its Jacobian (viewed only as an abstract grou…
The infinitesimal subgroup of interpretable groups in some dp-minimal valued fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
We continue our local analysis of groups interpretable in various dp-minimal valued fields, as introduced in [8]. We associate with every infinite group interpretable in those…