Togliatti systems
Ilardi, Giovanna
Osaka J. Math., Tome 43 (2006) no. 2, p. 1-12 / Harvested from Project Euclid
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We find some examples in $\mathbf{P}^5(\mathbf{C})$ of surfaces satisfying Laplace equations. In particular, we study rational surfaces in $\mathbf{P}^{5}(\mathbf{C})$ whose hyperplane sections have genus one that satisfy a Laplace equation. Then we study monomial Togliatti systems of cubics for variety of dimension three, i.e. we find all the monomial examples of three-folds satisfying Laplace equations.
Publié le : 2006-03-15
Classification:  14C20,  14J26 
@article{1146242993,
     author = {Ilardi, Giovanna},
     title = {Togliatti systems},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 1-12},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146242993}
}

Ilardi, Giovanna. Togliatti systems. Osaka J. Math., Tome 43 (2006) no. 2, pp.  1-12. http://gdmltest.u-ga.fr/item/1146242993/