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math.CV2009
On weighted Bochner-Martinelli residue currents
Elizabeth Wulcan
We study the weighted Bochner-Martinelli residue current R^p(f) associated with a sequence f=(f_1,...,f_m) of holomorphic germs at the origin in C^n, whose common zero set equals t…
math.CV2009
Sparse effective membership problems via residue currents
Elizabeth Wulcan
We use residue currents on toric varieties to obtain bounds on the degrees of solutions to polynomial ideal membership problems. Our bounds depend on (the volume of) the Newton pol…