22 citations · 52 across the 13 of their papers we have counts for
7 papers · 1 filter
On functoriality of Baum-Bott residues
Maurício Corrêa, Tatsuo Suwa
We prove a functoriality formula for Baum--Bott residues under holomorphic pull-back. Let be a holomorphic map generically transverse to a singular holomorphic foliation…
Relative Dolbeault cohomology
Tatsuo Suwa
We review the notion of relative Dolbeault cohomology and prove that it is canonically isomorphic with the local (relative) cohomology of A. Grothendieck and M. Sato with coefficie…
Sato hyperfunctions via relative Dolbeault cohomology
Naofumi Honda, Takeshi Izawa, Tatsuo Suwa
The relative Dolbeault cohomology which naturally comes up in the theory of Cech-Dolbeault cohomology turns out to be canonically isomorphic with the local (relative) cohomology of…
Localization of Bott-Chern classes and Hermitian residues
Maurício Corrêa, Tatsuo Suwa
We develop a theory of Cech-Bott-Chern cohomology and in this context we naturally come up with the relative Bott-Chern cohomology. In fact Bott-Chern cohomology has two relatives…
Localized intersection of currents and the Lefschetz coincidence point theorem
Cinzia Bisi, Filippo Bracci, Takeshi Izawa +1
We introduce the notion of a Thom class of a current and define the localized intersection of currents. In particular we consider the situation where we have a smooth map of manifo…
Perturbation of Baum-Bott residues
Filippo Bracci, Tatsuo Suwa
We prove that Baum-Bott residues vary continuously under smooth deformations of holomorphic foliations. This provides an effective way to compute residues.