What we know about the second adjunction mapping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

按检索

What we know about the second adjunction mapping

Authors:	Andrew J Sommese

Institution:	(1) Department of Mathermatics, University of Notre Dame, 46556 Notre Dame, Indiana, U.S.A.

Abstract:	Let $\hat X$ be an algebraic submanifold of complex projective space ℙ^N. Assume thatn:=dim $\hat X \geqslant 3$ and let $\hat L$ denote the restriction of the hyperplane section bundle ${\mathcal{O}}_{P^N } (1)$ to $\hat X$ . The meromorphic map $\hat \Phi _k$ associated to $\|k(K_{\hat X} + (n - 2)\hat L)\|$ fork≥1 ties together the pluricanonical maps of the surface sections of $\hat X$ . Known results show that the behavior of $\hat \Phi _k$ is far better than one would expect from experience with the pluricanonical mappings of algebraic surfaces. In this article we discuss the known results on the structure of the mappings $\hat \Phi _k$ and describe the open problems. Conferenza tenuta il 5 giugno 1997

Keywords:
本文献已被 SpringerLink 等数据库收录！