Averaging of the Cauchy kernels and integral realization of the local residue

DOI10.1007/s00209-008-0453-zzbMath1186.14053OpenAlexW2118341652MaRDI QIDQ846882

Alexey A. Kytmanov, A. Y. Semusheva

Publication date: 15 February 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-008-0453-z

zbMATH Keywords

toric varietiesintegral representationslocal residuesCauchy kernels

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Residues for several complex variables (32A27)

Related Items (3)

Algorithm for construction of volume forms on toric varieties starting from a convex integer polytope ⋮ An algorithm for constructing toric compactifications ⋮ Koppelman formulas on smooth compact toric varieties

Cites Work

• An analog of the Bochner-Martinelli representation in \(d\)-circular polyhedra in the space \(\mathbb C^{d}\)
• Residue currents
• Residual kernels with singularities on coordinate planes
• Integral Representation Formulae and Grothendieck Residue Symbol
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