Výsledky vyhledávání - "Ngaiming Mok"

Multiplicities of the Betti map associated to a section of an elliptic surface from a differential-geometric perspective

Autor: Ngaiming Mok, Sui-Chung Ng

For the study of the Mordell-Weil group of an elliptic curve ${\bf E}$ over a complex function field of a projective curve $B$, the first author introduced the use of differential-geometric methods arising from K\"ahler metrics on $\mathcal H \times

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::789532a647935e9191457b46c7dee308
http://arxiv.org/abs/2206.09405

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Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type

Autor: Ngaiming Mok

Publikováno v: Science China Mathematics. 62:2335-2354

Recently, Mok and Zhang (2019) introduced the notion of admissible pairs (X0, X) of rational homogeneous spaces of Picard number 1 and proved rigidity of admissible pairs (X0, X) of the subdiagram type whenever X0 is nonlinear. It remains unsolved wh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d8927e63a647ccec1a6e3e5030520d21
https://doi.org/10.1007/s11425-019-1592-6

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Zariski closures of images of algebraic subsets under the uniformization map on finite-volume quotients of the complex unit ball

Autor: Ngaiming Mok

Publikováno v: Compositio Mathematica. 155:2129-2149

We prove the analogue of the Ax–Lindemann–Weierstrass theorem for not necessarily arithmetic lattices of the automorphism group of the complex unit ball $\mathbb{B}^{n}$ using methods of several complex variables, algebraic geometry and Kähler g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7a630457f27bafd00f2100716df90d96
https://doi.org/10.1112/s0010437x19007577

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Masatake Kuranishi (1924–2021)

Autor: Duong H Phong, Yum-Tong Siu, Robert Bryant, Albert Chau, Elisha Falbel, Charles Fefferman, Robert Friedman, John Morgan, Akito Futaki, Phillip Griffiths, Joseph J Kohn, Ngaiming Mok, Shigefumi Mori, Makoto Namba, Junjiro Noguchi, Takeo Ohsawa, Mikio Sato, Shing-Tung Yau

Publikováno v: Notices of the American Mathematical Society. 69:1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b1ac532c5e47e8963ffe492e8cfe2368
https://doi.org/10.1090/noti2480

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Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one

Autor: Ngaiming Mok, Jaehyun Hong

Publikováno v: Selecta Mathematica. 26

Given a rational homogeneous manifold S=G/P of Picard number one and a Schubert variety S0 of S, the pair (S,S0) is said to be homologically rigid if any subvariety of S having the same homology class as S0 must be a translate of S0 by the automorphi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3585786f2cd27da47f37a6ea5837db54
https://doi.org/10.1007/s00029-020-00571-9

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Harmonic Forms with Values in Locally Constant Hilbert Bundles

Autor: Ngaiming Mok

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::61f410220936183a6627b0374f8b7b2b
https://doi.org/10.1201/9780429332838-26

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Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures

Autor: Ngaiming Mok

Publikováno v: Local and Global Methods in Algebraic Geometry. :261-285

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c3f3b85de755e8c5bbb9b853b4c18985
https://doi.org/10.1090/conm/712/14350

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Rigidity of pairs of rational homogeneous spaces of Picard number $1$ and analytic continuation of geometric substructures on uniruled projective manifolds

Autor: Yunxin Zhang, Ngaiming Mok

Publikováno v: J. Differential Geom. 112, no. 2 (2019), 263-345

Building on the geometric theory of uniruled projective manifolds by Hwang–Mok, which relies on the study of varieties of minimal rational tangents (VMRTs) from both the algebro-geometric and the differential-geometric perspectives, Mok, Hong–Mok

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa9087b54419feaedb0a18c610a95cf9
https://doi.org/10.4310/jdg/1559786425

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Ax-Schanuel for Shimura varieties

Autor: Jacob Tsimerman, Jonathan Pila, Ngaiming Mok

Publikováno v: Annals of Mathematics. 189

We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. A basic version of the theorem concerns the transcendence of the uniformization map from a bounded Hermitian symmetric space to a Shimura variety. We then prove a version of the t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cec630e6be18db6660c5356513a4ea6b
https://doi.org/10.4007/annals.2019.189.3.7

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Holomorphic isometries of $${\mathbb {B}}^m$$ B m into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals

Autor: Ngaiming Mok, Shan Tai Chan

Publikováno v: Mathematische Zeitschrift. 286:679-700

We study general properties of images of holomorphic isometric embeddings of complex unit balls ${\mathbb {B}}^m$ into irreducible bounded symmetric domains ${\varOmega }$ of rank at least 2. In particular, we show that such holomorphic isometrie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::498402178afbe0f0ef1424a652a8c7da
https://doi.org/10.1007/s00209-016-1778-7

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