Varieties with a reducible hyperplane section whose two components are hypersurfaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Varieties with a reducible hyperplane section whose two components are hypersurfaces

Authors:	José Carlos Sierra Andrea Luigi Tironi

Affiliation:	Departamento de Álgebra, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain ; Dipartimento di Matematica ``F. Enriques", Università degli Studi di Milano, Via C. Saldini 50, 20133 Milano, Italy

Abstract:	We classify smooth complex projective varieties $Xsubsetmathbb{P}^N$ of dimension admitting a divisor of the form among their hyperplane sections, both and of codimension in their respective linear spans. In this setting, one of the following holds: 1) is either the Veronese surface in $mathbb{P}^5$ or its general projection to $mathbb{P}^4$ , 2) and $Xsubset{mathbb{P}}^{n+2}$ is contained in a quadric cone of rank or , 3) and $Xsubsetmathbb{P}^3$ .

Keywords:	Algebraic geometry reducible hyperplane sections of varieties.

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文