Global effective versions of the Briancon-Skoda-Huneke theorem

• 成果类型: Article
• 署名作者: Andersson, Mats; Wulcan, Elizabeth
• 署名单位: Chalmers University of Technology; University of Gothenburg
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-014-0544-x
• 发表日期: 2015
• 页码: 607-651
• 关键词: residue currents; membership; IDEALS; bounds

摘要

We prove global effective versions of the Briancon-Skoda-Huneke theorem. Our results extend, to singular varieties, a result of Hickel on the membership problem in polynomial ideals in , 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.