Konstantinos Kartas

activity

20202026

most citedAn undecidability result for the asymptotic theory of

p

-adic fields

5 citations · 8 across the 8 of their papers we have counts for

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math.AG2024

On geometrically $C_{1}$ fields

Konstantinos Kartas

A field $k$ is called geometrically $C_{1}$ if every smooth projective separably rationally connected $k$ -variety has a $k$ -rational point. Given a henselian valued field of equal ch…

math.AG2021

Diophantine problems over tamely ramified fields

Konstantinos Kartas

Assuming a certain form of resolution of singularities, we prove a general existential Ax-Kochen/Ershov principle for tamely ramified fields in all characteristics. This specialize…

On geometrically C1​ fields

Diophantine problems over tamely ramified fields

On geometrically $C_{1}$ fields