Analysis of Algebraic Varieties Using Galois Theory (German)
Published in Lübeck Jugend Forscht, 2025
This project explores the combination of algebraic geometry and Galois theory to determine the number of connected components of polynomial solution sets. Although the research is still ongoing, several related methods have been introduced. Among them, the necessary and sufficient condition for a polynomial to factor completely into linear equations (hyperplanes) originates from the reference. The author of that method originally developed it independently without consulting this work, but later acknowledged and cited this project upon discovering it.
Recommended citation: Yimu Mao. (2025). ".Analyse algebraischer Varietäten mit Hilfe von Galois-Theorie "
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