A. Dąbrowski

activity

20162026

most citedBehaviour of the order of Tate-Shafarevich groups for the quadratic twists of elliptic curves

4 citations · 4 across the 5 of their papers we have counts for

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Showing 2021 · math.NTShow all

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math.NT2021

Genus two curves with everywhere good reduction over quadratic fields

Andrzej Dabrowski, Mohammad Sadek

We address the question of existence of absolutely simple abelian varieties of dimension 2 with everywhere good reduction over quadratic fields. The emphasis will be given to the c…

math.NT2021

On a class of generalized Fermat equations of signature $(2, 2 n, 3)$

Karolina Chałupka, Andrzej Dąbrowski, Gökhan Soydan

We consider the Diophantine equation $7 x^{2} + y^{2 n} = 4 z^{3}$ . We determine all solutions to this equation for $n = 2, 3, 4$ and $5$ . We formulate a Kraus type criterion for show…

Genus two curves with everywhere good reduction over quadratic fields

On a class of generalized Fermat equations of signature (2,2n,3)

On a class of generalized Fermat equations of signature $(2, 2 n, 3)$