List questions from real-algebraic-geometry

Published on 03 May 2026 - 16:38

327

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Does an irreducible real affine algebraic set/ its complement has finitely many connected components in the Euclidean topology?

Published on 29 Apr 2026 - 12:32

80

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How to proof a real variety is not locally a manifold

Published on 10 May 2026 - 9:01

96

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Characterizations of bounded real zero sets

Published on 29 Apr 2026 - 12:56

545

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Why is the set of all $x \in \mathbb{R}$ satisfying $ x^2 - 8x + 15 \leq 0 $ representable as a polyhedron?

Published on 04 May 2026 - 3:56

390

Views

Lebesgue measure of a semi-algebraic set

Published on 03 May 2026 - 8:52

171

Views

Disjoint Union Basic-Closed Semialgebraic Sets

Published on 10 May 2026 - 10:00

164

Views

Is union of matrices of different ranks a submanifold?

Published on 10 May 2026 - 11:45

67

Views

Is the image of the map $A \to \bigwedge^{k}A $ from matrices of a given rank closed?

Published on 03 May 2026 - 17:33

107

Views

Algebraic curves of odd degree - only finitely many lines through the origin fail to intersect

Published on 29 Apr 2026 - 12:56

646

Views

Box-constrained orthogonal matrix

Published on 03 May 2026 - 8:53

429

Views

Homogeneous polynomial of even degree in two variables

Published on 23 Apr 2026 - 13:22

41

Views

An affine $G$ such that $G(p)_x(\mathbb{R}^2) \geq 0$, $p \in \mathbb{R}[x,y]$ is homogeneous of odd degree

Published on 22 Apr 2026 - 21:21

81

Views

System of $n+1$ polynomial equations in $2m$ unknowns

Published on 29 Apr 2026 - 12:57

61

Views

Computing locus of points with positive dimensional fibers

Published on 22 Apr 2026 - 11:51

List Question

How can one prove that this polynomial is non-negative?

Does an irreducible real affine algebraic set/ its complement has finitely many connected components in the Euclidean topology?

How to proof a real variety is not locally a manifold

Characterizations of bounded real zero sets

Why is the set of all $x \in \mathbb{R}$ satisfying $ x^2 - 8x + 15 \leq 0 $ representable as a polyhedron?

Lebesgue measure of a semi-algebraic set

Disjoint Union Basic-Closed Semialgebraic Sets

Is union of matrices of different ranks a submanifold?

Is the image of the map $A \to \bigwedge^{k}A $ from matrices of a given rank closed?

Algebraic curves of odd degree - only finitely many lines through the origin fail to intersect

Box-constrained orthogonal matrix

Homogeneous polynomial of even degree in two variables

An affine $G$ such that $G(p)_x(\mathbb{R}^2) \geq 0$, $p \in \mathbb{R}[x,y]$ is homogeneous of odd degree

System of $n+1$ polynomial equations in $2m$ unknowns

Computing locus of points with positive dimensional fibers

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