English

Vanishing cycles of pencils of hypersurfaces

Algebraic Geometry 2007-05-23 v3 Algebraic Topology

Abstract

We prove an extended Lefschetz principle for a large class of pencils of hypersurfaces having isolated singularities, possibly in the axis, and show that the module of vanishing cycles is generated by the images of certain variation maps.

Keywords

Cite

@article{arxiv.math/0204094,
  title  = {Vanishing cycles of pencils of hypersurfaces},
  author = {Mihai Tibar},
  journal= {arXiv preprint arXiv:math/0204094},
  year   = {2007}
}

Comments

14 p, more references added, Introduction and Abstract reformulated; based on the Newton Institute preprint NI01029