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math.AG2025

Some Extremal Symmetric Inequalities

Tetsuya Ando

Let $H_{n, d} := R [x_{1}$ , $\dots$ , $x_{n}]_{d}$ be the set of all the homogeneous polynomials of degree $d$ , and let $\mathcal{H}_{n,d}^s := \mathcal{H}_{n,d}^{\mathfr…

math.AG2024

Some Cubic and Quartic Inequalities of Four Variables

Tetsuya Ando

Let $H \subset H_{n, d} := R [x_{1}$ , $\dots$ , $x_{n}]_{d}$ be a vector space, and $A$ be a compact semialgebraic subset of $P_{R}^{n - 1}$ . We…