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Acta Mathematica Vietnamica

Postulation of General Unions of Lines and Double Points in a Higher Dimensional Projective Space

icon-email Edoardo Ballico

Abstract

We prove that a general union $X\subset \mathbb {P}^{r}$, $r \geq 6$, of lines and double points has the expected postulation with respect to the hypersurfaces of degree $\geq 4$.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv