A Linear-algebraic Proof of Hilbert's Ternary Quartic Theorem

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Grinshpan, Anatolii; Woerdeman, Hugo J.;
  • Subject: 11E20, 15B48, 90C22 | Mathematics - Algebraic Geometry

Hilbert's ternary quartic theorem states that every nonnegative degree 4 homogeneous polynomial in three variables can be written as a sum of three squares of homogeneous quadratic polynomials. We give a linear-algebraic approach to Hilbert's theorem by showing that a s... View more
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