Newton polyhedra and the Bergman kernel

DOI10.1007/s00209-003-0554-7zbMath1047.32004OpenAlexW2063647849MaRDI QIDQ1434197

Joe Kamimoto

Publication date: 1 July 2004

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0554-7

zbMATH Keywords

toric varietiesasymptotic expansionFourier analysisNewton polyhedraSzegö kernelpseudoconvex domains of finite typeLaplace integralsingularities of the Bergman kerneltoric resolutions

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Bergman spaces of functions in several complex variables (32A36) Finite-type domains (32T25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (5)

Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude ⋮ Newton polyhedra and order of contact on real hypersurfaces ⋮ Behavior of the Bergman kernel at infinity ⋮ Bergman kernel and complex singularity exponent ⋮ Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases

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