Global effective versions of the Brian\ccon-Skoda-Huneke theorem

Abstract

We prove global effective versions of the Brian\ccon-Skoda-Huneke theorem. Our results extend, to singular varieties, a result of Hickel on the membership problem in polynomial ideals in ${\mathbf{C}}^n$, and a related theorem of Ein and Lazarsfeld for smooth projective varieties. The proofs rely on known geometric estimates and new results on multivariable residue calculus.

arXiv comment33 pages

References in corpus (1)

• A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

Cited by in corpus (4)

• A comparison formula for residue currents
• Pseudomeromorphic currents on subvarieties
• A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
• On the effective membership problem for polynomial ideals