Global effective versions of the Brian\ccon-Skoda-Huneke theorem
  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. 
Mats Andersson, Elizabeth Wulcan
math.CV math.AG