Projects per year
We prove some unconditional cases of the Existential Closedness problem for the modular j-function. For this, we show that for any finitely generated field we can find a “convenient” set of generators. This is done by showing that in any field equipped with functions replicating the algebraic behaviour of the modular j-function and its derivatives, one can define a natural closure operator in three equivalent different ways.
|Journal||Israel Journal of Mathematics|
|Early online date||5 Oct 2022|
|Publication status||E-pub ahead of print - 5 Oct 2022|
- 1 Finished
Exponentially Algebraically closed fields.
Engineering and Physical Sciences Research Council
1/09/19 → 31/08/22