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- W2761360016 abstract "In [MeMR], Mezzetti and Miro-Roig proved that the minimal number of generators $mu (I)$ of a minimal (smooth) monomial Togliatti system $Isubset k[x_{0},dotsc,x_{n}]$ satisfies $2n+1le mu(I)le binom{n+d-1}{n-1}$ and they classify all smooth minimal monomial Togliatti systems $Isubset k[x_{0},dotsc,x_{n}]$ with $2n+1le mu(I)le 2n+2$. In this paper, we address the first open case. We classify all smooth monomial Togliatti systems $Isubset k[x_{0},dotsc,x_{n}]$ of forms of degree $dge 4$ with $mu(I)=2n+3$ and $nge 2$ and all monomial Togliatti systems $Isubset k[x_0,x_1,x_2]$ of forms of degree $dge 6$ with $mu(I)=7$." @default.
- W2761360016 created "2017-10-20" @default.
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- W2761360016 date "2017-10-07" @default.
- W2761360016 modified "2023-09-27" @default.
- W2761360016 title "On the classification of Togliatti systems" @default.
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