6 papers · 1 filter
Euler obstructions and Verdier specializations
Ren Fernandes, Kiyoshi Takeuchi
To establish a basis of the sheaf theoretical study of the Milnor fibers and monodromies of complete intersection varieties, we clarify the structures of the Verdier specialization…
The Legend of Masaki Kashiwara and Algebraic Analysis
Kiyoshi Takeuchi
This survey paper offers a concise introduction to Kashiwara's work on -modules, microlocal analysis and related subjects. In this way, we explain his role in the deve…
Characteristic cycles of real and complex constructible sheaves, revisited
Ren Fernandes, Kazuki Kudomi, Kiyoshi Takeuchi
For a smooth morphism of real analytic manifolds and an -constructible sheaf on satisfying some condition, we define a family of Lagran…
On characteristic cycles of irregular holonomic D-modules
Kazuki Kudomi, Kiyoshi Takeuchi
Based on the recent progress in the irregular Riemann-Hilbert correspondence for holonomic D-modules, we show that the characteristic cycles of some standard irregular holonomic D-…
On the monodromies at infinity of Fourier transforms of holonomic D-modules
Kazuki Kudomi, Kiyoshi Takeuchi
Based on the recent progress in the irregular Riemann-Hilbert correspondence, we study the monodromies at infinity of the holomorphic solutions of Fourier transforms of holonomic D…
A Morse theoretical approach to Fourier transforms of holonomic D-modules in dimension one
Kazuki Kudomi, Kiyoshi Takeuchi
We study Fourier transforms of holonomic D-modules on the complex affine line and show that their enhanced solution complexes are described by a twisted Morse theory. We thus recov…