We give a closed formula for the dimension of all linear systems in Pn with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of degree n. In particular we give a purely geometric explanation of the speciality of these linear systems, which is due to the pres- ence of certain subvarieties in the base locus: linear spans of points, secant varieties of the rational normal curve or joins between them.
On linear systems with multiple points on a rational normal curve / Laface, Antonio; Postinghel, Elisa; Santana Sánchez, Luis José. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 657:(2023), pp. 197-240. [10.1016/j.laa.2022.10.023]
On linear systems with multiple points on a rational normal curve
Postinghel, Elisa;
2023-01-01
Abstract
We give a closed formula for the dimension of all linear systems in Pn with assigned multiplicity at arbitrary collections of points lying on a rational normal curve of degree n. In particular we give a purely geometric explanation of the speciality of these linear systems, which is due to the pres- ence of certain subvarieties in the base locus: linear spans of points, secant varieties of the rational normal curve or joins between them.| File | Dimensione | Formato | |
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