6 citations · 21 across the 5 of their papers we have counts for
4 papers · 1 filter
A closure operator respecting the modular -function
Vahagn Aslanyan, Sebastian Eterović, Jonathan Kirby
We prove some unconditional cases of the Existential Closedness problem for the modular -function. For this, we show that for any finitely generated field we can find a "conveni…
Differential Existential Closedness for the -function
Vahagn Aslanyan, Sebastian Eterović, Jonathan Kirby
We prove the Existential Closedness conjecture for the differential equation of the -function and its derivatives. It states that in a differentially closed field certain equati…
Categoricity of Shimura Varieties
Sebastian Eterović
We propose a model-theoretic structure for Shimura varieties and give necessary and sufficient conditions to obtain categoricity. We show that these conditions are directly related…
A Schanuel Property for
Sebastian Eterović
I give a model-theoretic setting for the modular function and its derivatives. These structures, here called -fields, provide an adequate setting for interpreting the Ax-Sch…