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[ACM Press the 2010 International Symposium - Munich, Germany (2010.07.25-2010.07.28)] Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation - ISSAC '10 - Degree bounds for Gröbner bases of low-dimensional polynomial ideals

✍ Scribed by Mayr, Ernst W.; Ritscher, Stephan

Book ID
121440015
Publisher
ACM Press
Year
2010
Weight
748 KB
Category
Article
ISBN
1450301509

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[ACM Press the 2010 International Sympos
[ACM Press the 2010 International Symposium - Munich, Germany (2010.07.25-2010.07.28)] Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation - ISSAC '10 - Degree bounds for Gröbner bases of low-dimensional polynomial ideals
✍ Mayr, Ernst W.; Ritscher, Stephan 📂 Article 📅 2010 🏛 ACM Press ⚖ 748 KB

Let K[X] be a ring of multivariate polynomials with coefficients in a field K, and let f1, . . . , fs be polynomials with maximal total degree d which generate an ideal I of dimension r. Then, for every admissible ordering, the total degree of polynomials in a Gröbner basis for I is bounded by . Th