Let E be a holomophic vector bundle over a compact Astheno-Kähler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudoeffective and the first Chern class c_(1)^(BC)(E)i...Let E be a holomophic vector bundle over a compact Astheno-Kähler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudoeffective and the first Chern class c_(1)^(BC)(E)is zero.展开更多
Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-...Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-lattice associated to L. As a consequence, we obtain decomposition theorems such as Lebesgue and Hewitt-Yosida decompositions--and control theorems such as Bartle-Dunford Schwartz and Rybakov theorems--for modular measures on L.展开更多
Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also s...Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also study the dimension growth for a sequence of pseudo-effective line bundles.展开更多
基金supported by the National key R&D Program of China(No.2020YFA0713100)the National Natural Science Foundation of China(No.12141104)the Jiangsu Funding Program for Excellent Postdoctoral Talent(No.2023ZB491).
文摘Let E be a holomophic vector bundle over a compact Astheno-Kähler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudoeffective and the first Chern class c_(1)^(BC)(E)is zero.
文摘Let L be a pseudo-D-lattice. We prove that the exhaustive lattice uniformities on L which makes the operations of L uniformly continuous form a Boolean algebra isomorphic to the centre of a suitable complete pseudo-D-lattice associated to L. As a consequence, we obtain decomposition theorems such as Lebesgue and Hewitt-Yosida decompositions--and control theorems such as Bartle-Dunford Schwartz and Rybakov theorems--for modular measures on L.
基金supported by National Natural Science Foundation of China(Grant No.12301095)supported by National Natural Science Foundation of China(Grant No.11901594)+4 种基金supported by National Natural Science Foundation of China(Grant No.12001549)Topics on Basic and Applied Basics Research of Guangzhou in 2023(Grant No.2023A04J0648)Faculty Research Grants Program of the Macao University of Science and Technology(Grant No.FRG-22-076-MCMS)the Science and Technology Development Fund,Macao Special Administrative Region(Grant Nos.0133/2022/A and 0022/2023/ITP1)the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant Nos.22qntd2901 and 23lgbj026)。
文摘Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also study the dimension growth for a sequence of pseudo-effective line bundles.
