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arXiv · 1008.3617

Some variants of Macaulay's and Max Noether's theorems

Elizabeth Wulcan
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Abstract

We use residue currents on toric varieties to obtain bounds on the support of solutions to polynomial ideal membership problems. Our bounds depend on the Newton polytopes of the polynomial systems and are therefore well adjusted to sparse systems of polynomials. We present variants of classical results due to Macaulay and Max Noether.

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Elizabeth Wulcan. 2010-08-21. Some variants of Macaulay's and Max Noether's theorems. https://arxiv.org/abs/1008.3617

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