Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds

DOI10.1007/s12220-016-9697-8zbMath1365.58014arXiv1505.00439OpenAlexW2963889217MaRDI QIDQ522498

Francesco Bei

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00439

zbMATH Keywords

Sobolev spaceheat kernelBochner Laplacianprojective varietystratified pseudomanifoldFubini-Study metriciterated edge metric

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Differential complexes (58J10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (max. 100)

\(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ Symplectic manifolds, \(L^p\)-cohomology and \(q\)-parabolicity ⋮ Degenerating Hermitian metrics and spectral geometry of the canonical bundle ⋮ Functional inequalities on simple edge spaces ⋮ On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics ⋮ Sobolev spaces on quasi-Kähler complex varieties ⋮ On the Laplace–Beltrami operator on compact complex spaces ⋮ On the eigenforms of compact stratified spaces

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