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An interesting application of Lagrange's four-square theorem.The four-square theorem states that every positive integer is the sum of four perfect squares (allowing repetition and allowing 0).(1/10) For example, 3 =
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The Rees ring R[It] is isomorphic as a graded ring to R \oplus I \oplus I² \oplus I³ \oplus ... etc.,i.e., the direct sum of the powers of I,where the
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A thread on blowup algebras! The blowup perspective!(In this thread, I denote the field of real numbers as "RR".)(1/48) Let's begin with the basics of algebraic geometry. How can you
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