A small and non-simple geometric transition
Abstract
Following notation introduced in the recent paper \cite{Rdef}, this paper is aimed to present in detail an example of a "small" geometric transition which is not a "simple" one i.e. a deformation of a conifold transition. This is realized by means of a detailed analysis of the Kuranishi space of a Namikawa cuspidal fiber product, which in particular improves the conclusion of Y.~Namikawa in Remark 2.8 and Example 1.11 of \cite{N}. The physical interest of this example is presenting a geometric transition which can't be immediately explained as a massive black hole condensation to a massless one, as described by A.~Strominger \cite{Strominger95}.
Cite
@article{arxiv.1211.6329,
title = {A small and non-simple geometric transition},
author = {Michele Rossi},
journal= {arXiv preprint arXiv:1211.6329},
year = {2022}
}
Comments
22 pages. v2: final version to appear in Mathematical Physics, Analysis and Geometry. Minor changes: title, abstract, result in Remark 3 emphasized by Theorem 5, as suggested by a referee. Some typos corrected