M. Nakahara

activity

20172022

most citedWeak approximation and the Hilbert property for Campana points

5 citations · 11 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019

Quantitative arithmetic of diagonal degree $2$ K3 surfaces

Damián Gvirtz-Chen, Daniel Loughran, Masahiro Nakahara

In this paper we study the existence of rational points for the family of K3 surfaces over $Q$ given by $w^{2} = A_{1} x_{1}^{6} + A_{2} x_{2}^{6} + A_{3} x_{3}^{6} .$ When the coefficients are…

math.AG2019

Bijective Cremona transformations of the plane

Shamil Asgarli, Kuan-Wen Lai, Masahiro Nakahara +1

We study the birational self-maps of the projective plane over finite fields that induce permutations on the set of rational points. As a main result, we prove that no odd permutat…

math.NT2019★ 1 cited

Rational points on conic bundles over elliptic curves

Jennifer Berg, Masahiro Nakahara

We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…

Quantitative arithmetic of diagonal degree 2 K3 surfaces

Bijective Cremona transformations of the plane

Rational points on conic bundles over elliptic curves

Quantitative arithmetic of diagonal degree $2$ K3 surfaces