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math.NT2026
On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks
Nathan Grieve
We expand on the concept of \emph{admissible pairs} from \cite{Levin:GCD} and explore its relation with the main Diophantine arithmetic inequalities, with discriminant term and for…
math.NT2023★ 1 cited
On qualitative aspects of the quantitative subspace theorem
Nathan Grieve
We deduce Diophantine arithmetic inequalities for big linear systems and with respect to finite extensions of number fields. Our starting point is the Parametric Subspace Theorem,…
math.NT2019★ 5 cited
Greatest common divisors with moving targets and consequences for linear recurrence sequences
Nathan Grieve, Julie Tzu-Yueh Wang
We establish consequences of the moving form of Schmidt's Subspace Theorem. Indeed, we obtain inequalities that bound the logarithmic greatest common divisor of moving multivariabl…