Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Besser, Amnon"'
We give a new construction of $p$-adic heights on varieties over number fields using $p$-adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms of adelic metrics, these heights are given in terms of $p$-adic adelic
Externí odkaz:
http://arxiv.org/abs/2112.03873
Autor:
Besser, Amnon, Raskind, Wayne
Let $X$ be a variety defined over a local field $K$ of mixed characteristic $(0,p)$ with a totally degenerate reduction in the sense of Raskind and Xarles. Generalizing earlier work of Raskind and Xarles and relying on some conjectures we define a ma
Externí odkaz:
http://arxiv.org/abs/1910.06877
We generalize the explicit quadratic Chabauty techniques for integral points on odd degree hyperelliptic curves and for rational points on genus 2 bielliptic curves to arbitrary number fields using restriction of scalars. This is achieved by combinin
Externí odkaz:
http://arxiv.org/abs/1910.04653
Autor:
Besser, Amnon
We extend the result of a previous work to the case of curves with semi-stable reduction. In this case, one can replace Coleman integration by Vologodsky integration to extend the Coleman-Gross definition of a $p$-adic height pairing. we show that th
Externí odkaz:
http://arxiv.org/abs/1711.06957
Autor:
Besser, Amnon, Zerbes, Sarah Livia
We prove that the Vologodsky integral of a mermorphic one-form on a curve over a $p$-adic field with semi-stable reduction restrict to Coleman integrals on the rigid subdomains reducing to the components of the smooth part of the special fiber and th
Externí odkaz:
http://arxiv.org/abs/1711.06950
We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the $p$-adic approximation technique
Externí odkaz:
http://arxiv.org/abs/1504.07040
Publikováno v:
Ann. math. du Qu\'ebec 40 (2016), no. 1, 203--220
Nekovar and Niziol have introduced in [arxiv:1309.7620] a version of syntomic cohomology valid for arbitrary varieties over p-adic fields. This uses a mapping cone construction similar to the rigid syntomic cohomology of the first author in the good-
Externí odkaz:
http://arxiv.org/abs/1405.7527
We describe an algorithm to compute the zeta-function of a proper, smooth curve over a finite field, when the curve is given together with some auxiliary data. Our method is based on computing the matrix of the action of a semi-linear Frobenius on th
Externí odkaz:
http://arxiv.org/abs/1306.5102
We give a formula for the component at p of the p-adic height pairing of a divisor of degree 0 on a hyperelliptic curve. We use this to give a Chabauty-like method for finding p-adic approximations to p-integral points on such curves when the Mordell
Externí odkaz:
http://arxiv.org/abs/1302.2944