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math.AG2023
Power mean inequalities and sums of squares
Jose Acevedo, Grigoriy Blekherman
For fixed degree and increasing number of variables the dimension of the vector space of -variate real symmetric homogeneous polynomials (forms) of degree stabilizes. We stu…
math.AG2023
The Wonderful Geometry of the Vandermonde map
Jose Acevedo, Grigoriy Blekherman, Sebastian Debus +1
We study the geometry of the image of the nonnegative orthant under the power-sum map and the elementary symmetric polynomials map. After analyzing the image in finitely many varia…