D. Takeuchi

activity

20182023

most citedCharacteristic Epsilon Cycles of

ℓ

-adic Sheaves on Varieties

3 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2023

Quadratic $ℓ$ -adic sheaf and its Heisenberg group

Daichi Takeuchi

In this paper, we introduce a new class of $ℓ$ -adic sheaves, which we call quadratic $ℓ$ -adic sheaves, on connected unipotent commutative algebraic groups over finite fields.…

math.AG2020★ 1 cited

Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic

Daichi Takeuchi

Let $f : X \to A_{k}^{1}$ be a morphism from a smooth variety to an affine line with an isolated singular point. For such a singularity, we have two invariants. One is a non…

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.AG2019★ 3 cited

Characteristic Epsilon Cycles of $ℓ$ -adic Sheaves on Varieties

Daichi Takeuchi

Let $X$ be a smooth variety over a finite field $F_{q}$ . Let $ℓ$ be a rational prime number invertible in $F_{q}$ . For an $ℓ$ -adic sheaf $F$ on $X$ , w…

math.AG2018★ 1 cited

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.

Quadratic ℓ-adic sheaf and its Heisenberg group

Symmetric bilinear forms and local epsilon factors of isolated singularities in positive characteristic

On continuity of local epsilon factors of ℓ-adic sheaves

Characteristic Epsilon Cycles of ℓ-adic Sheaves on Varieties

Blow-ups and the class field theory for curves

Quadratic $ℓ$ -adic sheaf and its Heisenberg group

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

Characteristic Epsilon Cycles of $ℓ$ -adic Sheaves on Varieties