Global effective versions of the Brian-Skoda-Huneke theorem
Andersson, Mats · Wulcan, Elizabeth
Original · EN
We prove global effective versions of the Brian-Skoda-Huneke theorem. Our results extend, to singular varieties, a result of Hickel on the membership problem in polynomial ideals in Cⁿ, 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.
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