Adequate predimension inequalities in differential fields

Aslanyan, Vahagn

doi:10.1016/j.apal.2021.103030

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Finitely Generated J-subfields1

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2022

2024

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Cited by 3 publications

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“…We begin by defining a predimension function δ j , and then we define two standard objects known as "self-sufficient extensions" and "self-sufficient closure". We have not included all the proofs as they are mostly just repeating arguments that are already detailed in [Asl18] and [Kir09] with appropriate name-changing; instead we give specific references in each case.…”

Section: Finitely Generated J-subfieldsmentioning

confidence: 99%

A closure operator respecting the modular j-function

2022

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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.

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Section: Finitely Generated J-subfieldsmentioning

confidence: 99%