supported by National Natural Science Foundation of China(Grant No.12301095);supported by National Natural Science Foundation of China(Grant No.11901594);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)。
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...
Considering the bundle of 2-jets as a realization of the holomorphic manifold over 3-dimensional nilpotent algebra,the authors introduce a new class of lifts of connections in the bundle of 2-jets which is a generaliz...
The power flow(PF)calculation for AC/DC hybrid systems based on voltage source converter(VSC)plays a crucial role in the operational analysis of the new energy system.The fast and flexible holomorphic embedding(FFHE)P...
supported by the National Natural Science Foundation of China(12271496);the Youth Innovation Promotion Association CAS,the Fundamental Research Funds of the Central Universities,and the USTC Research Funds of the Double First-Class Initiative.
In this note,we study the Yang-Mills bar connection,i.e.,the curvature of obeys,δ_(A)^(*)F_(A)^(0.2)on a principal G-bundle P over a compact complex manifold.According to the Koszul-Malgrange criterion,any holomorphi...
supported by National Natural Science Foundation of China(Grant Nos.12071386 and 11671330)。
In this paper,a class of holomorphic invariant metrics is introduced on the irreducible classical domains of typesⅠ-Ⅳ,which are strongly pseudoconvex complex Finsler metrics in the strict sense of Abate and Patrizio...
We prove that the invariant locus of the involution associated with a general double EisenbudPopescu-Walter(EPW)sextic is a constant cycle surface and introduce a filtration on CH1of a Gushel-Mukai fourfold.We verify ...
In this article,we study Kahler metrics on a certain line bundle over some compact Kahler manifolds to find complete Kahler metrics with positive holomorphic sectional(or bisectional)curvatures.Thus,we apply a strateg...
The holomorphic embedding method(HEM)stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables.The key idea behind the HEM is to ...
supported by Beijing Natural Science Foundation(Grant No.Z190003);National Natural Science Foundation of China(Grant Nos.12171037 and 12271040);the Fundamental Research Funds for the Central Universities.
In this paper,we study the existence of conformal metrics with the constant holomorphic d-scalar curvature and the prescribed holomorphic d-scalar curvature problem on closed,connected almost Hermitian manifolds of di...
Let f be a fixed Maass form for SL_3(Z)with Fourier coefficients A_(f)(m,n).Let g be a Maass cusp form for SL_2(G)with Laplace eigenvalue(1/4)+k^(2) and Fourier coefficientλ_(g)(n),or a holomorphic cusp form of even ...