Blar i Institutt for matematiske fag på forfatter "Wang, Xu"
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A remark on the Alexandrov–Fenchel inequality
Wang, Xu (Journal article; Peer reviewed, 2018)In this article, we give a complex-geometric proof of the Alexandrov–Fenchel inequality without using toric compactifications. The idea is to use the Legendre transform and develop the Brascamp–Lieb proof of the Prékopa ... -
ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES
Berndtsson, Bo; Pǎun, Mihai; Wang, Xu (Peer reviewed; Journal article, 2022) -
Cohomologies of complex manifolds with symplectic (1, 1)-forms
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2023)Let (X,J) be a complex manifold with a non-degenerated smooth d-closed (1,1)-form ω. Then we have a natural double complex ∂ +∂Λ, where ∂Λ denotes the symplectic adjoint of the ∂-operator. Westudy the Hard Lefschetz Condition ... -
Curvature of the base manifold of a Monge–Ampère fibration and its existence
Wan, Xueyuan; Wang, Xu (Journal article; Peer reviewed, 2022)In this paper, we consider a special relative Kähler fibration that satisfies a homogenous Monge–Ampère equation, which is called a Monge–Ampère fibration. There exist two canonical types of generalized Weil–Petersson ... -
Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants
Luef, Franz; Wang, Xu (Peer reviewed; Journal article, 2023)We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kähler geometry such as Hörmander’s - estimate with singular weight, Demailly’s Calabi–Yau method for Kähler currents and a ... -
A Hilbert Bundles Description of Complex Brunn-Minkowski Theory
Nguyen, Tai Terje Huu (Doctoral theses at NTNU;2023:152, Doctoral thesis, 2023) -
On a remark by Ohsawa related to the Berndtsson-Lempert method for L2-holomorphic extension
Nguyen, Tai Terje Huu; Wang, Xu (Journal article; Peer reviewed, 2022)In [15, Remark 4.1], Ohsawa asked whether it is possible to prove Theorem 4.1 and Theorem 0.1 in [15] using the Berndtsson–Lempert method. We shall answer Ohsawa’s question affirmatively in this paper. Our approach also ... -
On the equality case of the Alexandrov-Fenchel inequality
Evensen, Anders Krøger (Master thesis, 2023)Denne oppgaven omhandler Alexandrov-Fenchel ulikheten og dens likhets tilfelle. Vi viser til relevante resultater om Hodge-teori, $T$-Hodge-teori og rundt Delzant polytoper, varieteter og linjebunter. Vi avslutter oppgaven ... -
Some results on the Hard Lefschetz Condition
Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2018)We discuss the Hard Lefschetz Condition (HLC) on various cohomology groups and verify them for the Nakamura manifold of completely solvable type and the Kodaira-Thurston manifold. A general Demailly-Griffiths-Kähler identity ... -
Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
Rollenske, Sonke; Tomassini, Adriano; Wang, Xu (Journal article; Peer reviewed, 2019)In this paper, we obtain a vertical–horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems for cohomologies of nilmanifolds follow as applications.