Weak Lefschetz theorems and the topology of zero loci of ample vector bundles

作者:Matsumura Shin ichi*
来源:Communications in Analysis and Geometry, 2014, 22(4): 595-616.
DOI:10.4310/CAG.2014.v22.n4.a1

摘要

The purpose of this paper is to study the fundamental group and higher homotopy groups of the zero locus of holomorphic sections of ample vector bundles on projective varieties, in the spirit of the Lefschetz hyperplane theorem. We give some Lefschetz type theorems by using Morse theory and the method of Napier-Ramachandran (the L-2-method and the theory of formal schemes).

  • 出版日期2014-10

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