Curvilinear Schemes and Maximum Rank of Forms
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چکیده
We define the curvilinear rank of a degree d form P in n+1 variables as the minimum length of a curvilinear scheme, contained in the d-th Veronese embedding of Pn, whose span contains the projective class of P . Then, we give a bound for rank of any homogenous polynomial, in dependance on its curvilinear rank.
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تاریخ انتشار 2012