Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Xueyuan Wan"'
Autor:
Xueyuan Wan
Publikováno v:
Forum of Mathematics, Sigma, Vol 12 (2024)
In this paper, we define two types of strongly decomposable positivity, which serve as generalizations of (dual) Nakano positivity and are stronger than the decomposable positivity introduced by S. Finski. We provide the criteria for strongly decompo
Externí odkaz:
https://doaj.org/article/272c887ac3f14d4499ec092b2a76f21b
Publikováno v:
Indiana University Mathematics Journal. 71:1-36
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1c97ef3a22b9fbfdd0643449aea3d95
https://doi.org/10.1512/iumj.2022.71.8818
https://doi.org/10.1512/iumj.2022.71.8818
Autor:
Xueyuan Wan, Xu Wang
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7489caabbc13c2a2ebb52a6efc2a6b82
https://doi.org/10.1007/s00208-022-02475-9
https://doi.org/10.1007/s00208-022-02475-9
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:
Xiaoxiang Chai, Xueyuan Wan
Let $(M,g)$ be a complete connected $n$-dimensional Riemannian spin manifold without boundary such that the scalar curvature satisfies $R_g\geq -n(n-1)$ and $\mathcal{E}\subset M$ be an asymptotically hyperbolic end, we prove that the mass functional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::158c26d8247e3269a89d1d8c874b232b
http://arxiv.org/abs/2207.06141
http://arxiv.org/abs/2207.06141
Publikováno v:
Nagoya Mathematical Journal. 246:305-354
By use of a natural map introduced recently by the first and third authors from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the small differentiable deformation of this manifold, we will give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29fba12dea522a7715e0c92a5474cb4d
https://doi.org/10.1017/nmj.2021.4
https://doi.org/10.1017/nmj.2021.4
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 141:316-341
We consider harmonic maps u ( z ) : X z → N in a fixed homotopy class from Riemann surfaces X z of genus g ≥ 2 varying in the Teichmuller space T to a Riemannian manifold N with non-positive Hermitian sectional curvature. The energy function E (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b3e9db6e86aef3ae089ef4080cf2719
https://doi.org/10.1016/j.matpur.2020.01.009
https://doi.org/10.1016/j.matpur.2020.01.009
Autor:
Xueyuan Wan, Xu Wang
Publikováno v:
Mathematische Zeitschrift. 296:987-1010
In this paper, we introduce the associated geodesic-Einstein flow for a relative ample line bundle L over the total space $$\mathcal {X}$$ of a holomorphic fibration and obtain a few properties of that flow. In particular, we prove that the pair $$(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c4586c7e20411a2bba33d62926137fc
https://doi.org/10.1007/s00209-020-02463-2
https://doi.org/10.1007/s00209-020-02463-2
Publikováno v:
Science China Mathematics. 62:2331-2334
Let X be a compact Kahler manifold and D be a simple normal crossing divisor. If D is the support of some effective q-ample divisor, we show $$H^{i}(X, \Omega_{X}^{j}(\log D))=0, \quad \text { for } \quad i+j>n+q.$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7abdb868f81fd756a2b1d2ca75c39e3
https://doi.org/10.1007/s11425-019-9553-2
https://doi.org/10.1007/s11425-019-9553-2
Autor:
Genkai Zhang, Xueyuan Wan
Publikováno v:
Geometriae Dedicata. 204:377-385
We give a direct proof for the asymptotic faithfulness of the quantum $SU(n)$ representations of the mapping class groups using peak sections in Kodaira embedding. We give also estimates on the norm of the parallell transport of the projective connec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c39780b7847d96968bfc052cf458bbf2
https://doi.org/10.1007/s10711-019-00461-1
https://doi.org/10.1007/s10711-019-00461-1