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The bergman kernels of cartan — hartogs domains
Complex Variables, Theory and Application: An International Journal, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic behaviour of the Bergman kernel and metric
, 2023 We prove nontangential asymptotic limits of the Bergman kernel on the diagonal, and the Bergman metric and its holomorphic sectional curvature at exponentially flat infinite type boundary points of smooth bounded pseudoconvex domains in $\mathbb{C}^{n+1}$
Jaiswal, Ravi Shankar
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The asymptotic behavior of Bergman kernels
Advances in MathematicsLet $( X ,d ,p ) $ be the pointed Gromov-Hausdorff limit of a sequence of pointed complete polarized Kähler manifolds $( M_l ,ω_l ,\mathcal{L}_l ,h_l ,p_l ) $ with $Ric ( h_l ) =2πω_l $, $Ric ( ω_l ) \geq -Λω_l $ and $Vol \big( B_1 ( p_l ) \big) \geq v $, $\forall l\in\mathbb{N} $, where $Λ,v>0$ are constants. Then $X$ is a normal complex space [Liu-
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Pointwise estimates of the weighted Bergman kernel in finite dimension
, 2015 Es werden Arbeiten die sich mit dem gewichteten Bergman Kern beschäftigen näher untersucht und mit Erklärungen versehen.We deal with papers concerning pointwise estimates of the weighted Bergman kernel and try to add a few illuminating ...
Ferizovic, Damir
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Asymptotics of Bergman kernels
, 2005 We give an elementary proof of the existence of an asymptotic expansion in powers of $k$ of the Bergman kernel associated to $L^k$, where $L$ is a positive line bundle. We also give an algorithm for computing the coefficients in the expansion.
Berman, Robert +2 more
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The Bergman kernel and quadrature domains in the plane
, 2008 A streamlined proof that the Bergman kernel associated to a quadrature domain in the plane must be algebraic will be given. A byproduct of the proof will be that the Bergman kernel is a rational function of z and one other explicit function known as the ...
Steven R. Bell
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Weighted Bergman Kernel Functions Associated to Meromorphic Functions
, 2017 We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with modulus squared weight of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the domain
Robert Jacobson, Jacobson, Robert
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Bergman kernel on toric Kahler manifolds [PDF]
, 2011 Let (L,h) → (X,ω) be a compact toric polarized Kahler manifold of complex dimension n. For each k ε N, the fibre-wise Hermitian metric hk on Lk induces a natural inner product on the vector space C∞(X,Lk) of smooth global sections of Lk by integration ...
Bailey, Toby +2 more
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Asymptotic behaviour of zeros of bieberbach polynomials
, 1990 Let Ω be a simply-connected domain in the complex plane and let πn denote the nth-degree Bieberbach polynomial approximation to the conformal map f of Ω onto a disc.
Saff, E B +5 more
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