6 citations · 21 across the 5 of their papers we have counts for
6 papers
Generic Solutions of Equations Involving the Modular -function
Sebastian Eterović
Assuming a modular version of Schanuel's conjecture and the modular Zilber-Pink conjecture, we show that the existence of generic solutions of certain families of equations involvi…
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…
On the geography of line arrangements
Sebastian Eterović, Fernando Figueroa, Giancarlo Urzúa
This is a short note on various results about the combinatorial properties of line arrangements in terms of the Chern numbers of the corresponding log surfaces. This resembles the…
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…