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math.NT2026
A class formula for effective Anderson motives
Xavier Caruso, Quentin Gazda, Alexis Lucas
We establish a class formula with variable for arbitrary effective Anderson motives. This pursues the pioneering work of Taelman and extends the scope of the work of Angl{è}s-Ngo D…
math.NT2026
The cyclosyntomic regulator of a number field
Tess Bouis, Quentin Gazda
We construct a q-deformation of the p-adic regulator of a number field, called the cyclosyntomic regulator, building on the Habiro ring of Garoufalidis-Scholze-Wheeler-Zagier. The…