We find some examples in P 5 (C) of surfaces satisfying Laplace equations. In particular, we study rational surfaces in P 5 (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.
Togliatti systems / Ilardi, Giovanna. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - STAMPA. - 43:1(2006), pp. 1-12.
Togliatti systems
ILARDI, GIOVANNA
2006
Abstract
We find some examples in P 5 (C) of surfaces satisfying Laplace equations. In particular, we study rational surfaces in P 5 (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.File in questo prodotto:
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