Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Beneish, Lea"'
Autor:
Beneish, Lea, Keyes, Christopher
A cubic hypersurface in $\mathbb{P}^n$ defined over $\mathbb{Q}$ is given by the vanishing locus of a cubic form $f$ in $n+1$ variables. It is conjectured that when $n \geq 4$, such cubic hypersurfaces satisfy the Hasse principle. This is now known t
Externí odkaz:
http://arxiv.org/abs/2405.06584
This article gives a new proof of the Gross--Kohnen--Zagier theorem for Shimura curves which exploits the $p$-adic uniformization of Cerednik--Drinfeld. The explicit description of CM points via this uniformization leads to an expression relating the
Externí odkaz:
http://arxiv.org/abs/2403.18688
Autor:
Beneish, Lea, Berg, Jennifer, Goedhart, Eva, Kadhem, Hussain M., López, Allechar Serrano, Treneer, Stephanie
We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code automorphisms. In the case of sublattices fixed by subgroups of code au
Externí odkaz:
http://arxiv.org/abs/2306.15402
Motivated by work of Chan, Chan, and Liu, we obtain a new general theorem which produces Ramanujan-Sato series for $1/\pi$. We then use it to construct explicit examples related to non-compact arithmetic triangle groups, as classified by Takeuchi. So
Externí odkaz:
http://arxiv.org/abs/2202.13253
Autor:
Beneish, Lea, Keyes, Christopher
We investigate the proportion of superelliptic curves that have a $\mathbb{Q}_p$ point for every place $p$ of $\mathbb{Q}$. We show that this proportion is positive and given by the product of local densities, we provide lower bounds for this proport
Externí odkaz:
http://arxiv.org/abs/2111.04697
Publikováno v:
Journal of the Australian Mathematical Society , Volume 116 , Issue 1 , February 2024 , pp. 1 - 38
In this paper, we use techniques from Iwasawa theory to study questions about rank jump of elliptic curves in cyclic extensions of prime degree. We also study growth of the $p$-primary Selmer group and the Shafarevich--Tate group in cyclic degree-$p$
Externí odkaz:
http://arxiv.org/abs/2107.09166
Autor:
Beneish, Lea, Berg, Jennifer, Goedhart, Eva, Kadhem, Hussain M., Serrano López, Allechar, Treneer, Stephanie
Publikováno v:
In Journal of Algebra 15 March 2024 642:159-202
Autor:
Adžaga, Nikola, Arul, Vishal, Beneish, Lea, Chen, Mingjie, Chidambaram, Shiva, Keller, Timo, Wen, Boya
We use the method of quadratic Chabauty on the quotients $X_0^+(N)$ of modular curves $X_0(N)$ by their Fricke involutions to provably compute all the rational points of these curves for prime levels $N$ of genus four, five, and six. We find that the
Externí odkaz:
http://arxiv.org/abs/2105.04811
Autor:
Beneish, Lea, Keyes, Christopher
We give an asymptotic lower bound on the number of field extensions generated by algebraic points on superelliptic curves over $\mathbb{Q}$ with fixed degree $n$, discriminant bounded by $X$, and Galois closure $S_n$. For $C$ a fixed curve given by a
Externí odkaz:
http://arxiv.org/abs/2103.16672
Autor:
Beneish, Lea
For certain subgroups of $M_{24}$, we give vertex operator algebraic module constructions whose associated trace functions are meromorphic Jacobi forms. These meromorphic Jacobi forms are canonically associated to the mock modular forms of Mathieu mo
Externí odkaz:
http://arxiv.org/abs/1912.04373