Koppelman formulas on smooth compact toric varieties

DOI10.1007/s00025-022-01624-5zbMath1487.32019OpenAlexW4214827643WikidataQ113906326 ScholiaQ113906326MaRDI QIDQ2114991

C. Tryfonos, Alekos Vidras

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01624-5

zbMATH Keywords

Koppelman integral representation formula, \((0, q)\) smooth forms with values in line bundles

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Boundary behavior of holomorphic functions of several complex variables (32A40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit representation of membership in polynomial ideals
• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Analytic continuation of residue currents
• Averaging of the Cauchy kernels and integral realization of the local residue
• Integral representation with weights. II: Division and interpolation
• Weighted integral formulas on manifolds
• Integral formulas on projective space and the Radon transform of Gindikin-Henkin-Polyakov
• A classification of toric varieties with few generators
• Henkin-Ramirez kernels with weight factors
• Integral representation with weights. I
• Residue currents and ideals of holomorphic functions
• Various approaches to products of residue currents
• Global Koppelman formulas on (singular) projective varieties
• Residual kernels with singularities on coordinate planes
• The Hartogs extension phenomenon in toric varieties
• Introduction to Toric Varieties. (AM-131)
• Sous-groupes algébriques de rang maximum du groupe de Cremona

This page was built for publication: Koppelman formulas on smooth compact toric varieties