In mathematics, Vojta's conjecture is a conjecture introduced by Paul Vojta (1987) about heights of points on algebraic varieties over number fields. |
2 апр. 2021 г. · Vojta introduced a dictionary between value distribution theory? of Nevanlinna and Diophantine approximation theory? of Roth and suggested that ... |
This final chapter is dedicated to the Vojta conjectures. They may be considered as an arithmetic counterpart of the Nevanlinna theory discussed in Chapter 13 ... |
Vojta's conjecture is a quantitative attempt at how the geometry controls the arithmetic, and it is very deep: its special cases include Schmidt's subspace. |
16 мая 2022 г. · We prove a Diophantine approximation inequality for rational points in varieties of any dimension, in the direction of Vojta's conjecture with truncated ... |
Lang-Vojta conjecture is one of the most celebrated conjec- tures in Diophantine Geometry. Stated independently by Paul. Vojta in [Voj1] and Serge Lang (see ... |
Introduction. Vojta's famous conjecture in Diophantine geometry was originally stated for a smooth projective variety X over a number field and a simple ... |
Vojta's Conjecture. A conjecture which treats the heights of points relative to a canonical class of a curve defined over the integers. |
8 дек. 2020 г. · We propose a conjecture on a sufficient condition for the limit to be zero. We point out that our conjecture implies Dynamical Mordell-Lang conjecture. |
28 мая 2024 г. · In our setting, Vojta's height conjecture predicts that given a general type variety 𝑋 defined over a characteristic zero function field 𝜅(C) of ... |
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