In this paper we study the X-rank of points with respect to smooth linearly normal curves of genus g and degree n+g. We prove that, for such a curve X, under certain circumstances, the X-rank of a general point of X-border rank equal to s is less or equal than n + 1 - s. In the particular case of g = 2 we give a complete description of the X-rank if n = 3, 4; while if n a parts per thousand yen 5 we study the X-rank of points belonging to the tangential variety of X.
Edoardo Ballico, Alessandra Bernardi (2013). On the X-rank with respect to linearly normal curves. COLLECTANEA MATHEMATICA, 64(2), 141-154 [10.1007/s13348-011-0058-4].
On the X-rank with respect to linearly normal curves
BERNARDI, ALESSANDRA
2013
Abstract
In this paper we study the X-rank of points with respect to smooth linearly normal curves of genus g and degree n+g. We prove that, for such a curve X, under certain circumstances, the X-rank of a general point of X-border rank equal to s is less or equal than n + 1 - s. In the particular case of g = 2 we give a complete description of the X-rank if n = 3, 4; while if n a parts per thousand yen 5 we study the X-rank of points belonging to the tangential variety of X.File in questo prodotto:
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