63 citations · 339 across the 28 of their papers we have counts for
28 papers
Characteristic cycles of constructible sheaves and microlocalization
Takeshi Saito
For a constructible sheaf on a smooth scheme over a field of positive characteristic, the singular support and the characteristic cycle are defined on the cotangent bundle. We stud…
Graded quotients of ramification groups of local fields with imperfect residue fields
Takeshi Saito
We prove that the graded quotients of the filtration by ramification groups of any henselian discrete valuation field of residue characteristic are -vector spaces. We de…
Cotangent bundle and micro-supports in mixed characteristic case
Takeshi Saito
For a regular scheme and a prime number , we define the FW-cotangent bundle as a vector bundle on the closed subscheme defined by , under a certain finiteness condition. Fo…
A characterization of ramification groups of local fields with imperfect residue field
Takeshi Saito
We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we rep…
Coincidence of two Swan conductors of abelian characters
Kazuya Kato, Takeshi Saito
There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors…
Refined Swan conductors mod p of one-dimensional Galois representations
Kazuya Kato, Isabel Leal, Takeshi Saito
For a character of the absolute Galois group of a complete discrete valuation field, we define a lifting of the refined Swan conductor, using higher dimensional class field theory.