English

On a remark by Y. Namikawa

Algebraic Geometry 2014-08-29 v4

Abstract

The aim of the present paper is on the one hand to produce examples supporting the conclusion of Y. Namikawa in Remark 2.8 of \cite{N} and improving considerations of Example 1.11 of the same paper. On the other hand, it is intended to give a geometric interpretation of the rigidity properties of some trees of exceptional rational curves, as observed by Namikawa, which can be obtained by factorizing small resolutions through nodal threefolds.

Keywords

Cite

@article{arxiv.0807.4104,
  title  = {On a remark by Y. Namikawa},
  author = {Michele Rossi},
  journal= {arXiv preprint arXiv:0807.4104},
  year   = {2014}
}

Comments

This paper has been withdrawn because it has been superseded by arXiv:1203.1500 and the just submitted paper "Deforming Namikawa's fiber products", arXiv:1211.6329

R2 v1 2026-06-21T11:04:22.476Z