12 citations · 38 across the 20 of their papers we have counts for
25 papers
Frobenius lifts and point counting for smooth curves
Amnon Besser, Rob de Jeu, Pengju Guan +1
We describe an algorithm for computing the zeta function of a proper, smooth curve over a finite field of characteristic , when the curve is given together with some auxilia…
Regulators and derivatives of Vologodsky functions with respect to log(p)
Amnon Besser
We describe several instances of the following phenomenon: In bad reduction situations the \( p \)-adic regulator has a continuous and a discrete component. The continuous componen…
p-adic adelic metrics and Quadratic Chabauty I
Amnon Besser, J. Steffen Müller, Padmavathi Srinivasan
We give a new construction of -adic heights on varieties over number fields using -adic Arakelov theory. In analogy with Zhang's construction of real-valued heights in terms…
Toric regulators
Amnon Besser, Wayne Raskind
Let be a variety defined over a local field of mixed characteristic with a totally degenerate reduction in the sense of Raskind and Xarles. Generalizing earlier wor…
Explicit quadratic Chabauty over number fields
Jennifer S. Balakrishnan, Amnon Besser, Francesca Bianchi +1
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 nu…
p-adic heights and Vologodsky integration
Amnon Besser
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…