D. Takeuchi

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20182023

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math.AG2020

On continuity of local epsilon factors of $ℓ$ -adic sheaves

Daichi Takeuchi

Let $S$ be a noetherian scheme and $f : X \to S$ be a smooth morphism of relative dimension 1. For a locally constant sheaf on the complement of a divisor in $X$ at over $S$ , 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.

On continuity of local epsilon factors of ℓ-adic sheaves

Blow-ups and the class field theory for curves

On continuity of local epsilon factors of $ℓ$ -adic sheaves