A Century-Old Question Is Still Revealing Answers in Fundamental Math
Briefly

from www.scientificamerican.com4 months ago
Mathematicians have significantly advanced their understanding of the Mordell conjecture in recent years, exploring its implications and offshoots within the realm of fundamental mathematics.
www.scientificamerican.comhttps://www.scientificamerican.com/article/a-century-old-question-is-still-revealing-answers-in-fundamental-math/
The Mordell conjecture concerns the relationship between the genus of a polynomial equation's defining curve and the finite number of rational solutions it possesses.
www.scientificamerican.comhttps://www.scientificamerican.com/article/a-century-old-question-is-still-revealing-answers-in-fundamental-math/
The genus, an invariant property of curves, helps mathematicians determine whether a polynomial equation yields an infinite or finite number of rational solutions.
www.scientificamerican.comhttps://www.scientificamerican.com/article/a-century-old-question-is-still-revealing-answers-in-fundamental-math/
Faltings's 1983 proof of the Mordell conjecture not only resolved a century-old question but also opened new avenues of inquiry in mathematics.
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#mathematics #mordell-conjecture #algebraic-curves #genus #gerd-faltings
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