Zobrazeno 1 - 10
of 1 057
pro vyhledávání: '"11G50"'
Autor:
Carneiro, Emanuel, Das, Mithun Kumar
In this paper we provide a detailed study on effective versions of the celebrated Bilu's equidistribution theorem for Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus, identifying the qualitative dependence
Externí odkaz:
http://arxiv.org/abs/2411.16294
Autor:
Browning, Tim, Chan, Stephanie
The large sieve is used to estimate the density of integral quadratic polynomials $Q$, such that there exists an odd degree integral polynomial which has resultant $\pm 1$ with $Q$. The proof uses properties of cyclotomic polynomials and the Chebotar
Externí odkaz:
http://arxiv.org/abs/2411.09264
Autor:
Barrios, Benjamín
Let $X$ be a smooth projective variety defined over a number field $K$. We give an upper bound for the generalized greatest common divisor of a point $x\in X$ with respect to an irreducible subvariety $Y\subseteq X$ also defined over $K$. To prove th
Externí odkaz:
http://arxiv.org/abs/2411.06050
Autor:
Kim, Dohyeong, Song, Seungho
The conjecture due to Bertrand and Rodriguez Villegas asserts that the 1-norm of the nonzero element in an exterior power of the units of a number field has a certain lower bound. For the exterior square case of totally real quartic extensions of the
Externí odkaz:
http://arxiv.org/abs/2410.03242
Autor:
Kim, Dohyeong, Song, Seungho
The conjecture due to Bertrand and Rodriguez Villegas asserts that the 1-norm of the nonzero element in an exterior power of the units of a number field has a certain lower bound. We prove this conjecture for the exterior square case when the number
Externí odkaz:
http://arxiv.org/abs/2410.03238
We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott property, is meager. The main tool is a new theorem on the number of square
Externí odkaz:
http://arxiv.org/abs/2409.11082
Autor:
Abboud, Marc
We show the following result: If $X_0$ is an affine surface over a field $K$ and $f, g$ are two loxodromic automorphisms with an orbit meeting infinitely many times, then $f$ and $g$ must share a common iterate. The proof uses the preliminary work of
Externí odkaz:
http://arxiv.org/abs/2409.07826
Autor:
Gao, Yang, Ji, Qingzhong
Let \( K \) be a number field. We provide quantitative estimates for the size of the Zsigmondy set of an integral ideal sequence generated by iterating a polynomial function \(\varphi(z) \in K[z]\) at a wandering point \(\alpha \in K.\)
Externí odkaz:
http://arxiv.org/abs/2409.04710
Autor:
Ferrigno, Luca
Let $E_{\lambda}$ be the Legendre family of elliptic curves with equation $Y^2=X(X-1)(X-\lambda)$. Given a curve $\mathcal{C}$, satisfying a condition on the degrees of some of its coordinates and parametrizing $m$ points $P_1, \ldots, P_m \in E_{\la
Externí odkaz:
http://arxiv.org/abs/2409.01408
Autor:
Cai, Yulin, Gubler, Walter
Yuan and Zhang introduced arithmetic intersection numbers for adelic line bundles on quasi-projective varieties over a number field. Burgos and Kramer generalized this approach allowing more singular metrics at archimedean places. We introduce abstra
Externí odkaz:
http://arxiv.org/abs/2409.00611