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Boundary of the cone of positive polynomials

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#algebraic-geometry #polynomials #real-algebraic-geometry
78
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Representing a co-Heyting algebra as a lattice of semialgebraic sets in a real algebraic variety

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#order-theory #lattice-orders #real-algebraic-geometry
212
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What geometry (if any) studies sets defined by infinitely many polynomial inequalities?

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#reference-request #real-algebraic-geometry #semialgebraic-geometry
99
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Is a bilinear form with positive $k$-minors positive-definite?

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#linear-algebra #inner-products #exterior-algebra #real-algebraic-geometry
3.9k
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Solutions to ellipsoid intersection

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#geometry #real-algebraic-geometry
104
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Real algebraic set containing a sphere

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#real-algebraic-geometry
118
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Recommendations for Real Algebraic Geometry and Optimization

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#functional-analysis #optimization #reference-request #semidefinite-programming #real-algebraic-geometry
184
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Irreducible components of real algebraic sets

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#algebraic-geometry #reference-request #real-algebraic-geometry
61
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Minimising kurtosis. Can I prove solution uniqueness under particular assumptions using real algebraic geometry or an alternative approach?

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#polynomials #nonlinear-optimization #intersection-theory #non-convex-optimization #real-algebraic-geometry
901
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How to solve $x^{T}Ax = 0$?

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#polynomials #quadratics #quadratic-forms #real-algebraic-geometry #quadrics
166
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When is a multivariate cubic polynomial mapping $\Bbb{R}^n$ to $\Bbb{R}^n$ both one-to-one and onto?

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#multivariable-calculus #roots #real-algebraic-geometry #multivariate-polynomial
126
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Do exponents in tropical polynomials have to be integers?

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#abstract-algebra #algebraic-geometry #real-algebraic-geometry #tropical-geometry
753
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Regular rational functions over real projective lines and projective spaces.

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#algebraic-geometry #sheaf-theory #function-fields #real-algebraic-geometry
160
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What can replace "dimension $0$" to measure discreteness of varieties over $ \mathbb{R} $?

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#algebraic-geometry #real-algebraic-geometry
74
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Can a real plane curve have a singular complex point but no singular real points?

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#algebraic-geometry #singularity #real-algebraic-geometry

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