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math.AG2026
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…
math.AG2026
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…
math.AG2026
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…