A geometrical approach to Gordan-Noether's and Franchetta's contributions to a question posed by Hesse
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Publication:1022273
DOI10.1007/BF03191214zbMath1180.14045arXiv0802.0959OpenAlexW2068660819MaRDI QIDQ1022273
Flavia Repetto, Alice Garbagnati
Publication date: 10 June 2009
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.0959
Projective techniques in algebraic geometry (14N05) Hypersurfaces and algebraic geometry (14J70) Classical problems, Schubert calculus (14N15)
Related Items (15)
Homogeneous quasi-translations in dimension 5 ⋮ Quasi-translations and singular Hessians ⋮ On higher Hessians and the Lefschetz properties ⋮ Lefschetz properties for higher order Nagata idealizations ⋮ A theorem of Gordan and Noether via Gorenstein rings ⋮ Perazzo hypersurfaces and the weak Lefschetz property ⋮ Waring problems and the Lefschetz properties ⋮ Perazzo 3-folds and the weak Lefschetz property ⋮ On cubic hypersurfaces with vanishing Hessian ⋮ Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian ⋮ On mixed Hessians and the Lefschetz properties ⋮ On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version) ⋮ Higher order Jacobians, Hessians and Milnor algebras ⋮ Hypersurfaces with vanishing Hessian via Dual Cayley Trick ⋮ The Jordan type of graded Artinian Gorenstein algebras
Cites Work
- Su certe forme a hessiana indeterminata
- Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
- Varieties with small dual varieties. I
- Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements
- When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
- Su certe classi di forme a hessiana indeterminata
- Polar Cremona transformations.
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