Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem

Arkadiusz Płoski

doi:10.18778/8331-092-3

Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem

Arkadiusz Płoski

Department of Mathematics and Physics, Kielce University of Technology, Poland

Publication:

Analitic and Algebraic Geometry 4

Pages: 147-162

DOI: https://doi.org/10.18778/8331-092-3.12

Keywords: algebraic Geometry, Analitic Geometry

Published: December 28, 2022

Categories: Mathematics, Open Access

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Using some commutative algebra we prove Max Noether’s Theorem, the Jacobi Formula and B´ezout’s Theorem for systems of polynomial equations defining transversal hypersurfaces without common points at infinity.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Płoski, Arkadiusz. 2022. “Lectures on Polynomial Equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem”. In Analitic and Algebraic Geometry 4, edited by Tadeusz Krasiński and Stanisław Spodzieja, 147-62. Poland: Lodz University Press. https://doi.org/10.18778/8331-092-3.12.