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Recent improvements in the complexity of the effective Nullstellensatz

✍ Scribed by Carlos A. Berenstein; Daniele C. Struppa

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 698 KB
Volume: 157
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(91)90115-d

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A Combinatorial Proof of the Effective N

A Combinatorial Proof of the Effective Nullstellensatz

✍ Thomas W. Dubé 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 481 KB

Let \(I\) be an ideal in the affine multi-variate polynomial ring \(\mathcal{A}=K\left[x_{1}, \ldots, x_{n}\right]\). Beginning with the work of Brownawell, there has been renewed interest in recent years in using the degrees of polynomials which generate \(I\) to bound the degree \(D\) such that: