12 citations · 38 across the 20 of their papers we have counts for
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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…
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…
Vologodsky integration on curves with semi-stable reduction
Amnon Besser, Sarah Livia Zerbes
We prove that the Vologodsky integral of a mermorphic one-form on a curve over a -adic field with semi-stable reduction restrict to Coleman integrals on the rigid subdomains red…
Computing integral points on hyperelliptic curves using quadratic Chabauty
Jennifer S. Balakrishnan, Amnon Besser, J. Steffen Müller
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 appr…