Zobrazeno 1 - 10
of 230
pro vyhledávání: '"VOIGHT, John"'
Autor:
Kelly, Tyler L., Voight, John
We revisit certain one-parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the
Externí odkaz:
http://arxiv.org/abs/2412.03257
Autor:
van Bommel, Raymond, Costa, Edgar, Elkies, Noam D., Keller, Timo, Schiavone, Sam, Voight, John
We prove that the transitive permutation group 17T7, isomorphic to a split extension of $C_2$ by $\mathrm{PSL}_2(\mathbb{F}_{16})$, is a Galois group over the rationals. The group arises from the field of definition of the 2-torsion on an abelian fou
Externí odkaz:
http://arxiv.org/abs/2411.07857
We construct infinitely many abelian surfaces $A$ defined over the rational numbers such that, for a prime $\ell \leqslant 7$, the $\ell$-torsion subgroup of $A$ is not isomorphic as a Galois module to the $\ell$-torsion subgroup of its dual $A^\vee$
Externí odkaz:
http://arxiv.org/abs/2309.00531
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e92
Let $A$ be an abelian surface over $\mathbb{Q}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic curves, we show that the torsion subgroup of $A(\mathbb{Q})$ is $12$-tors
Externí odkaz:
http://arxiv.org/abs/2308.15193
Autor:
Voight, John
In a landmark paper published in 1957, Kneser introduced a method for enumerating classes in the genus of a definite, integral quadratic form. This method has been deeply influential, on account of its theoretical importance as well as its practicali
Externí odkaz:
http://arxiv.org/abs/2308.11566
We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.
Comment: 17 pages, to appear in the LuCaNT proceedings
Comment: 17 pages, to appear in the LuCaNT proceedings
Externí odkaz:
http://arxiv.org/abs/2308.09824
Let $A$ be an abelian variety over a number field. The connected monodromy field of $A$ is the minimal field over which the images of all the $\ell$-adic torsion representations have connected Zariski closure. We show that for all even $g \geq 4$, th
Externí odkaz:
http://arxiv.org/abs/2303.00804
Autor:
Assaf, Eran, Babei, Angelica, Breen, Ben, Costa, Edgar, Duque-Rosero, Juanita, Horawa, Aleksander, Kieffer, Jean, Kulkarni, Avinash, Molnar, Grant, Schiavone, Sam, Voight, John
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
Comment: 27 pages, to appear in LuCaNT proceedings
Comment: 27 pages, to appear in LuCaNT proceedings
Externí odkaz:
http://arxiv.org/abs/2301.10302
Autor:
Molnar, Grant, Voight, John
We count by height the number of elliptic curves over the rationals, both up to isomorphism over the rationals and over an algebraic closure thereof, that admit a cyclic isogeny of degree $7$.
Comment: 31 pages
Comment: 31 pages
Externí odkaz:
http://arxiv.org/abs/2212.11354