English

Vanishing cycles of smoothable isolated Cohen-Macaulay codimension 2 singularities of type 2

Algebraic Geometry 2021-09-15 v1

Abstract

We extend the results from the previous paper by A. Fr\"uhbis-Kr\"uger and the author [arXiv:1501.01915] to the vanishing topology of those singularities in the title. Studying the case of possibly non-isolated singularities in the Tjurina- transform, we reveal that in dimension 3 and 2 there always is exactly one special vanishing cycle in degree 2 closely related to the determinantal structure of the singularity.

Keywords

Cite

@article{arxiv.1607.07527,
  title  = {Vanishing cycles of smoothable isolated Cohen-Macaulay codimension 2 singularities of type 2},
  author = {Matthias Zach},
  journal= {arXiv preprint arXiv:1607.07527},
  year   = {2021}
}