On Bergman kernel functions and weak holomorphic Morse inequalities
From MaRDI portal
Publication:6093387
DOI10.1007/s13324-023-00829-3zbMath1528.32029arXiv2208.01994OpenAlexW4384927129MaRDI QIDQ6093387
Huan Wang, Guokuan Shao, Xiao Shan Li
Publication date: 6 September 2023
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01994
Bergman kernel functionvon Neumann dimensionpseudoconvex domainholomorphic Morse inequalitiesholomorphic Hermitian line bundle\(q\)-convex manifoldweakly \(1\)-complete manifold
(q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action
- Szegő kernel asymptotics and Morse inequalities on CR manifolds
- Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
- Bergman kernels and local holomorphic Morse inequalities
- Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains
- Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
- A vanishing theorem for semipositive line bundles over non-Kähler manifolds
- An eigenvalue estimate for the \(\overline{\partial}\)-Laplacian
- \(L^2\) holomorphic sections of bundles over weakly pseudoconvex coverings
- Holomorphic Morse inequalities for orbifolds
- Cohomology dimension growth for Nakano \(q\)-semipositive line bundles
- \(S^1\)-equivariant index theorems and Morse inequalities on complex manifolds with boundary
- The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds
- Holomorphic Morse inequalities and Bergman kernels
- Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
- Carleman estimates for the Laplace-Beltrami equation on complex manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Harmonic integrals on strongly pseudo-convex manifolds. I
- On the inverse of monoidal transformation
- Morse inequalities for covering manifolds
- On the growth of von Neumann dimension of harmonic spaces of semipositive line bundles over covering manifolds
- Inégalités de Morse pour la $d$-cohomologie sur une variété holomorphe non compacte
- Théorèmes de finitude pour la cohomologie des espaces complexes
- The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- \(G\)-invariant holomorphic Morse inequalities