8 citations · 25 across the 13 of their papers we have counts for
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An extension theorem in terms of adjoint ideal sheaves
Tsz On Mario Chan
In the context of the study of the Ohsawa--Takegoshi extension theorem, a "qualitative" extension theorem in terms of adjoint ideal sheaves (i.e. extension result without $L^…
Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces
Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura
Let be a complex manifold, and let and be two reduced simple-normal-crossing (snc) divisors on with no common irreducible components. Given a proper locally Kähler…
An injectivity theorem on snc compact Kähler spaces: an application of the theory of harmonic integrals on log-canonical centers via adjoint ideal sheaves
Tsz On Mario Chan, Young-Jun Choi, Shin-ichi Matsumura
Let be a log-canonical (lc) pair, in which is a compact Kähler manifold and is a reduced snc divisor, and let be a holomorphic line bundle on equipped with…
An application of adjoint ideal sheaves to injectivity and extension theorems
Tsz On Mario Chan, Young-Jun Choi
This note reviews the authors' approach to Fujino's conjecture, i.e. the injectivity theorem for lc pairs on compact Kähler manifolds, via the use of adjoint ideal sheaves coupled…
Residue functions and Extension problems
Tsz On Mario Chan
The "qualitative" extension theorem of Demailly guarantees existence of holomorphic extensions of holomorphic sections on some subvariety under certain positive-curvature assumptio…
On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves
Tsz On Mario Chan, Young-Jun Choi
As an application of the residue functions corresponding to the lc-measures developed by the authors, the proof of the injectivity theorem on compact Kähler manifolds for plt pairs…