3 papers
math.NT2023
Quadratic -adic sheaf and its Heisenberg group
Daichi Takeuchi
In this paper, we introduce a new class of -adic sheaves, which we call quadratic -adic sheaves, on connected unipotent commutative algebraic groups over finite fields.…
math.AG2020
On continuity of local epsilon factors of -adic sheaves
Daichi Takeuchi
Let be a noetherian scheme and be a smooth morphism of relative dimension 1. For a locally constant sheaf on the complement of a divisor in at over , De…
math.AG2018
Blow-ups and the class field theory for curves
Daichi Takeuchi
We propose another proof of the geometric class field theory for curves by considering blow-ups of symmetric products of curves.