
arXiv: 2308.05834
The Bergman kernels of monomial polyhedra are explicitly computed. Monomial polyhedra are a class of bounded pseudoconvex Reinhardt domains defined as sublevel sets of Laurent monomials. Their kernels are rational functions and are obtained by an application of Bell's transformation formula.
monomial polyhedra, Mathematics - Complex Variables, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, 32A25, Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds, Complex Variables (math.CV), Bergman kernel
monomial polyhedra, Mathematics - Complex Variables, Integral representations; canonical kernels (Szegő, Bergman, etc.), FOS: Mathematics, 32A25, Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds, Complex Variables (math.CV), Bergman kernel
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