Geodesic
Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras
Documenta mathematica, Tome 20 (2015), pp. 689-705.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Using the minors in Hessian matrices, we introduce new graded algebras associated to a homogeneous polynomial. When the associated projective hypersurface has isolated singularities, these algebras are related to some new local algebras associated to isolated hypersurface singularities, which generalize their Tjurina algebras. One consequence of our results is a new very rapid way to determine the number of weighted homogeneous singularities of such a hypersurface.
Classification : 14J70, 13D40, 14B05, 32S05
Keywords: projective hypersurfaces, graded algebra, Hessian matrix, weighted homogeneous singularities 
@article{DOCMA_2015__20__a22,
     author = {Dimca, Alexandru and Sticlaru, Gabriel},
     title = {Hessian ideals of a homogeneous polynomial and generalized {Tjurina} algebras},
     journal = {Documenta mathematica},
     pages = {689--705},
     publisher = {mathdoc},
     volume = {20},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a22/}
}
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Dimca, Alexandru; Sticlaru, Gabriel. Hessian ideals of a homogeneous polynomial and generalized Tjurina algebras. Documenta mathematica, Tome 20 (2015), pp. 689-705. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a22/