Abstract
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.
Citation
Giovanna Ilardi. "Togliatti systems." Osaka J. Math. 43 (1) 1 - 12, March 2006.
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