High dimensional reducible hyperplane sections with multigenera $\leq$ 1

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• 作者：A. L. Tironi
• 关键词：Mathematics Subject Classification (2000) ; Primary 14C20 ; 14N30 ; Secondary 14M99
• 刊名：Archiv der Mathematik
• 出版年：2003
• 出版时间：October 2003
• 年：2003
• 卷：81
• 期：4
• 页码：397-401
• 全文大小：129 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8938

文摘

Let X be an algebraic submanifold of the complex projective space\mathbbPN\mathbb{P}^N of dimension n 3 5n \geq 5. We describe those X ì \mathbbPNX \subset \mathbb{P}^N whose intersection with some hyperplane is a smooth simplynormal crossing divisor A₁ + ?+ A_rA_{1} + \cdots + A_{r} with r 3 2r \geq 2 such thatg(A_k, L_Ak) ￡ 1g(A_{k}, L_{A_k}) \leq 1 for k=1,?, rk=1,\ldots, r.