On Polynomials with Vanishing Hessians and Some Density Problems

DOI10.1007/978-3-319-59912-0_13zbMath1415.41008OpenAlexW2736887968MaRDI QIDQ4609807

Tom McKinley, Boris Shekhtman

Publication date: 26 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59912-0_13

zbMATH Keywords

densityhomogeneous polynomialalgebraic dependency

Mathematics Subject Classification ID

Real algebraic sets (14P05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (1)

On the gradient conjecture for quadratic polynomials

Cites Work

• On cubic hypersurfaces with vanishing Hessian
• Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
• Apolarity and canonical forms for homogeneous polynomials
• When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
• On a problem of Pinkus and Wajnryb regarding density of multivariate polynomials
• A problem of approximation using multivariate polynomials

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