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Preprints, Working Papers, ... Year : 2021

Degree of a polynomial ideal and Bézout inequalities

Daniel Lazard
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Abstract

A complete theory of the degree of a polynomial ideal is presented, with a systematic use of the rational form of the Hilbert function in place of the (more commonly used) Hilbert polynomial. This is used for a simple algebraic proof of classical Bézout theorem, and for proving a "strong Bézout inequality", which has as corollaries all previously known Bézout inequalities , and is much sharper than all of them in the case of a non-equidimensional ideal.
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Dates and versions

hal-02897419 , version 1 (15-12-2021)

Identifiers

  • HAL Id : hal-02897419 , version 1

Cite

Daniel Lazard. Degree of a polynomial ideal and Bézout inequalities. 2021. ⟨hal-02897419⟩
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