A surjectivity theorem for differential operators on spaces of regular functions

DOI10.1080/02781070500132679zbMath1096.30040OpenAlexW2510218658MaRDI QIDQ5460591

Fabrizio Colombo, Daniele C. Struppa, Alberto Damiano, Irene Sabadini

Publication date: 18 July 2005

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500132679

zbMATH Keywords

Regular functionsConstant coefficients different operatorsKoszul-type complexSurjectivity theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Hartogs phenomena and antisyzygies for systems of differential equations ⋮ Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic. ⋮ Singularities of functions of one and several bicomplex variables ⋮ New algebraic properties of biregular functions in 2nquaternionic variables

Cites Work

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• On the complexity of computing syzygies
• Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Complexes of Dirac operators in Clifford algebras
• Analysis of Dirac systems and computational algebra.
• Sheaves of quaternionic hyperfunctions and microfunctions
• On Compact Singularities for regular functions of one quaternionic varibale
• Analysis of the module determining the properties of regular functions of several quaternionic variables.

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