Bergman kernels of monomial polyhedra

Bergman kernels of monomial polyhedra

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.

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-03, Vol.531 (1), p.127723, Article 127723
Hauptverfasser: Chakrabarti, Debraj, Cinzori, Isaac, Gaidhane, Ishani, Gregory, Jonathan, Wright, Mary
Format: Artikel
Sprache:eng
Schlagworte:
Bell's transformation law
Bergman kernels
Monomial polyhedra
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2023.127723