List questions from real-algebraic-geometry | MathQA

What are the conditions on two multivariate real polynomials $f$ and $g$ so that their zero sets are similar?

Published on 25 Mar 2026 - 20:36

The Irreducibility of the Algebraic Set of a Sphere Over $\mathbb{R}$

Published on 15 Mar 2026 - 14:11

Continuity of real polynomial roots within a component (non-zero dimension variety)

Published on 14 Mar 2026 - 19:59

Is volume of semialgebraic sets definable over the language of ordered fields?

Published on 15 Mar 2026 - 11:35

Question regarding definition of semialgebraic set

Published on 15 Mar 2026 - 13:37

Reference request for texts on a generalization of real algebraic geometry.

Published on 15 Mar 2026 - 13:04

The polynomial $1 + x_1^2 + \dots + x_n^2$ cannot be written as a sum of $n$ rational squares of polynomials.

Published on 15 Mar 2026 - 13:51

A function with positive $n$-th derivative has at most $n$ roots – an inequality version of the Fundamental theorem of Algebra.

Published on 15 Mar 2026 - 5:37

A function with weakly positive $n$-th derivative has at most $n$ roots – an inequality version of the Fundamental theorem of Algebra.

Published on 15 Mar 2026 - 15:16