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• W2613140525 abstract "We improve certain degree bounds for Grobner bases of polynomial ideals in generic position. We work exclusively in deterministically verifiable and achievable generic positions of a combinatorial nature, namely either strongly stable position or quasi stable position. Furthermore, we exhibit new dimension- (and depth-)dependent upper bounds for the Castelnuovo-Mumford regularity and the degrees of the elements of the reduced Grobner basis (w.r.t. the degree reverse lexicographical ordering) of a homogeneous ideal in these positions." @default.
• W2613140525 created "2017-05-19" @default.
• W2613140525 creator A5013628987 @default.
• W2613140525 creator A5087754513 @default.
• W2613140525 date "2017-07-23" @default.
• W2613140525 modified "2023-09-23" @default.
• W2613140525 title "Dimension-Dependent Upper Bounds for Gröbner Bases" @default.
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• W2613140525 doi "https://doi.org/10.1145/3087604.3087624" @default.
• W2613140525 hasPublicationYear "2017" @default.
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