7 citations · 11 across the 8 of their papers we have counts for
8 papers
Elements in and regulator maps of Fermat curves
François Brunault, David T. -B. G. Lilienfeldt, Yusuke Nemoto
We construct explicit elements in the group of the Fermat curves for all . The construction, which is uniform in , uses polylogarithmic complexe…
Twisted triple product root numbers and a cycle of Darmon-Rotger
David T. -B. G. Lilienfeldt
We consider an algebraic cycle on the triple product of the prime level modular curve with origins in work of Darmon and Rotger. It is defined over the quadratic extension…
Derivatives of Rankin-Selberg -functions and heights of generalized Heegner cycles
David T. -B. G. Lilienfeldt, Ari Shnidman
Let be a newform of weight and let be an unramified imaginary quadratic Hecke character of infinity type , for some integer . We show that the…
Polylogarithmic motivic Chabauty-Kim for : the geometric step via resultants
David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2
Given a finite set of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for using resul…
Experiments with Ceresa classes of cyclic Fermat quotients
David T. -B. G. Lilienfeldt, Ari Shnidman
We give two new examples of non-hyperelliptic curves whose Ceresa cycles have torsion images in the intermediate Jacobian. For one of them, the central value of the -function of…
Torsion properties of modified diagonal classes on triple products of modular curves
David T. -B. G. Lilienfeldt
Consider three normalised cuspidal eigenforms of weight and prime level . Under the assumption that the global root number of the associated triple product -function is $…
Geometric quadratic Chabauty over number fields
Pavel Čoupek, David T. -B. G. Lilienfeldt, Zijian Yao +1
This article generalizes the geometric quadratic Chabauty method, initiated over by Edixhoven and Lido, to curves defined over arbitrary number fields. The main result…
Heegner cycles in Griffiths groups of Kuga-Sato varieties
David T. -B. G. Lilienfeldt
The aim of this article is to prove, using complex Abel-Jacobi maps, that the subgroup generated by Heegner cycles associated with a fixed imaginary quadratic field in the Griffith…