5 citations · 11 across the 9 of their papers we have counts for
8 papers · 1 filter
Semi-integral Brauer-Manin obstruction and quadric orbifold pairs
Vladimir Mitankin, Masahiro Nakahara, Sam Streeter
We study local-global principles for two notions of semi-integral points, termed Campana points and Darmon points. In particular, we develop a semi-integral version of the Brauer-M…
Weak approximation on Châtelet surfaces
Masahiro Nakahara, Samuel Roven
We study weak approximation for Châtelet surfaces over number fields when all singular fibers are defined over rational points. We consider Châtelet surfaces which satisfy weak app…
The elliptic sieve and Brauer groups
Subham Bhakta, Daniel Loughran, Simon L. Rydin Myerson +1
A theorem of Serre states that almost all plane conics over have no rational point. We prove an analogue of this for families of conics parametrised by elliptic curves…
Weak approximation and the Hilbert property for Campana points
Masahiro Nakahara, Sam Streeter
We study weak approximation and the Hilbert property for Campana points, both of importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and Varilly-Alva…
Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces
Kuan-Wen Lai, Masahiro Nakahara
A collection of varieties satisfies uniform potential density if each of them contains a dense subset of rational points after extending its ground field by a bounded degree. In th…
Quantitative arithmetic of diagonal degree 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 given by When the coefficients are…
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…
Index of fibrations and Brauer classes that never obstruct the Hasse principle
Masahiro Nakahara
Let be a smooth projective variety with a fibration into varieties that either satisfy a condition on representability of zero-cycles or that are torsors under an abelian varie…