Daniel Macias Castillo

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math.NT2026

On Selmer complexes, Stark systems and derived $p$ -adic heights

Daniel Macias Castillo, Takamichi Sano

We develop the theory of Nekovář's Selmer complexes. We prove that, under mild hypotheses, Nekovář's Selmer complexes are canonically quasi-isomorphic to ``Poitou-Tate complexes",…

math.NT2023

Annihilating class groups in $p$ -elementary extensions

Dominik Bullach, Daniel Macias Castillo

We derive new cases of conjectures of Rubin and of Burns--Kurihara--Sano concerning derivatives of Dirichlet $L$ -series at $s = 0$ in $p$ -elementary extensions of number fields for…

math.NT2023

The refined class number formula for Drinfeld modules

María Inés de Frutos-Fernández, Daniel Macias Castillo, Daniel Martínez Marqués

Let $K / k$ be a finite Galois extension of global function fields. Let $E$ be a Drinfeld module over $k$ . We state and prove an equivariant refinement of Taelman's analogue of the a…

On Selmer complexes, Stark systems and derived p-adic heights

Annihilating class groups in p-elementary extensions

The refined class number formula for Drinfeld modules

On Selmer complexes, Stark systems and derived $p$ -adic heights

Annihilating class groups in $p$ -elementary extensions