Zobrazeno 1 - 10
of 133
pro vyhledávání: '"Vonk, Jan"'
COMPETITION BETWEEN INVASIVE SEAGRASS AND NATIVE UPSIDE-DOWN JELLYFISH IN CARIBBEAN SEAGRASS MEADOWS
Publikováno v:
Bulletin of the Ecological Society of America, 2023 Apr 01. 104(2), 1-6.
Externí odkaz:
https://www.jstor.org/stable/48720588
The values of the so-called {\em Dedekind--Rademacher cocycle} at certain real quadratic arguments are shown to be global $p$-units in the narrow Hilbert class field of the associated real quadratic field, as predicted by conjectures of Darmon, Dasgu
Externí odkaz:
http://arxiv.org/abs/2103.02490
We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rational points on modular curves of genus $g>1$ whose Jacobians have Mordell--Weil rank $g$. This extends our previous work on the split Cartan curve of
Externí odkaz:
http://arxiv.org/abs/2101.01862
Autor:
Balakrishnan, Jennifer S., Best, Alex J., Bianchi, Francesca, Lawrence, Brian, Müller, J. Steffen, Triantafillou, Nicholas, Vonk, Jan
We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usually called the method of Chabauty--Kim or non-abelian Chabauty in the l
Externí odkaz:
http://arxiv.org/abs/1910.12755
Autor:
Vonk, Jan Bert
We investigate the action of the Atkin operator on spaces of overconvergent p-adic modular forms. Our contributions are both computational and geometric. We present several algorithms to compute the spectrum of the Atkin operator, as well as its p-ad
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655130
We extend the explicit quadratic Chabauty methods developed in previous work by the first two authors to the case of non-hyperelliptic curves. This results in an algorithm to compute the rational points on a curve of genus $g \ge 2$ over the rational
Externí odkaz:
http://arxiv.org/abs/1711.05846
Publikováno v:
Journal of the European Mathematical Society (EMS Publishing); 2024, Vol. 26 Issue 10, p3987-4032, 46p
Autor:
Vonk, Jan
We investigate the geometry of correspondences between curves, and prove that correspondences over a non-Archimedean valued field have potentially stable reduction, generalising and strengthening results of Coleman and Liu. This yields a concrete des
Externí odkaz:
http://arxiv.org/abs/1501.03488
Autor:
Vonk, Jan
Publikováno v:
LMS J. Comput. Math. 18 (2015) 250-257
In this note, we construct explicit bases for spaces of overconvergent $p$-adic modular forms when $p=2,3$ and study their stability under the Atkin operator. The resulting extension of the algorithms of Lauder is illustrated with computations of slo
Externí odkaz:
http://arxiv.org/abs/1411.6557