ABSTRACT. We consider the polynomial ring 𝑆 := 𝐾[𝑋₀,...,𝑋𝑛] over a field 𝐾 and the rings 𝑅𝑖 := 𝐾[(𝑋₀/𝑋𝑖),...,(𝑋𝑛/𝑋i ...
Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...
Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. “The ...
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