Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Chunle Huang"'
Publikováno v:
International Mathematics Research Notices.
In this paper, we first establish an $L^2$-type Dolbeault isomorphism for logarithmic differential forms by Hrmander’s $L^2$ estimates. By using this isomorphism and the construction of smooth Hermitian metrics, we obtain a number of new vanishing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d298734db896ad42b61abe8f797c34c
https://doi.org/10.1093/imrn/rnac204
https://doi.org/10.1093/imrn/rnac204
Autor:
Chunle Huang
Publikováno v:
Geometriae Dedicata. 208:89-95
In this short note, we use the Bochner technique and the Hodge theory in complex differential geometry to prove several injectivity results for the cohomology of holomorphic vector bundles on compact Kahler manifolds, which generalize Enoki’s origi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::979a94dd2bd83dd2d8a259f79f93b8a3
https://doi.org/10.1007/s10711-020-00511-z
https://doi.org/10.1007/s10711-020-00511-z
Autor:
Chunle Huang
Publikováno v:
Annals of Global Analysis and Geometry. 57:205-215
In this paper, we will first build an $$L^2$$ Dolbeault lemma by analytic methods and Hormander $$L^2$$ estimates. Then as applications, we will prove some log Nadel type vanishing theorems on compact Kahler manifolds and some log Kawamata–Viehweg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a7bcee1ef6a1f5f3a989b2fda697468
https://doi.org/10.1007/s10455-019-09695-4
https://doi.org/10.1007/s10455-019-09695-4
Autor:
Chunle Huang
Publikováno v:
Differential Geometry and its Applications. 60:132-146
We use L 2 analytic methods in this paper to prove some new vanishing theorems for adjoint vector bundles, that is, bundles of type S k E ⊗ ( det E ) m , on weakly pseudoconvex manifolds, and obtain some applications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::373819ccb1487834c74e3e5234db132d
https://doi.org/10.1016/j.difgeo.2018.06.002
https://doi.org/10.1016/j.difgeo.2018.06.002
Autor:
Chunle Huang
Publikováno v:
Journal of Geometry and Physics. 123:475-483
By using L 2 analytic methods we prove some results about holomorphic deformations of some open submanifolds of Calabi–Yau manifolds, which generalize some classical results from compact to noncompact cases.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4f60f7b4204d53c405b7d5a8aa07b7e
https://doi.org/10.1016/j.geomphys.2017.10.004
https://doi.org/10.1016/j.geomphys.2017.10.004
Autor:
Chunle Huang
Publikováno v:
Science China Mathematics. 61:1089-1098
We use analytic methods in this paper to prove some new Enoki type injectivity theorems on compact complex manifolds which generalize more or less the original Enoki injectivity theorem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7905219c6f996844fcabcb5684bccf6
https://doi.org/10.1007/s11425-016-9090-5
https://doi.org/10.1007/s11425-016-9090-5
Autor:
CHUNLE HUANG
Publikováno v:
Proceedings of the American Mathematical Society; Nov2019, Vol. 147 Issue 11, p4949-4954, 6p