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15
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Relationship between Number of Connected Components and number of real solutions?

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#algebraic-geometry #polynomials #real-algebraic-geometry
204
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isolated point of a real plane curve

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#algebraic-geometry #plane-curves #real-algebraic-geometry
211
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Can any polynomial in $\Bbb R [x]$ be written as the difference of two sum-of-squares polynomials in $\Bbb R [x]$?

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#polynomials #sum-of-squares-method #real-algebraic-geometry #multivariate-polynomial
152
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How to determine the number of critical points a polynomial scalar field has?

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#multivariable-calculus #scalar-fields #real-algebraic-geometry
177
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Using Gröbner bases and Cylindrical Algebraic Decomposition to solve real polynomial systems

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#abstract-algebra #algebraic-geometry #systems-of-equations #computer-algebra-systems #real-algebraic-geometry
51
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Points at distance one from an algebraic subset of $\mathbb R^n$

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#examples-counterexamples #zariski-topology #real-algebraic-geometry
562
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An almost complex structure on the real 2-sphere $S^2$

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#algebraic-geometry #reference-request #complex-geometry #real-algebraic-geometry #almost-complex
186
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Can every semi-algebraic set be written as a finite union of disjoint Nash submanifolds?

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#algebraic-geometry #real-algebraic-geometry #semialgebraic-geometry
305
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Number of connected components of zero set of polynomial with bounded number of terms

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#algebraic-geometry #polynomials #reference-request #algebraic-curves #real-algebraic-geometry
110
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Submanifolds and real algebraic sets

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#algebraic-geometry #manifolds #submanifold #real-algebraic-geometry
59
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How to create an Algebraic Variety/Polynomial Subject to Topological Constraints

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#differential-geometry #algebraic-geometry #algebraic-topology #homology-cohomology #real-algebraic-geometry
112
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Which Ideals and varieties correspond over $\mathbb{R}$?

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#algebraic-geometry #real-algebraic-geometry
34
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Is the zero set of a real polynomial union of smooth manifolds?

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#algebraic-geometry #polynomials #real-algebraic-geometry
45
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Algorithm to determine whether a system of multivariate polynomials has a real solution

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#algebraic-geometry #real-algebraic-geometry
70
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On irreducible algebraic sets

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#algebraic-geometry #real-algebraic-geometry

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