On a remark by Y. Namikawa

Details On a remark by Y. Namikawa On a remark by Y. Namikawa

2008-07-25

arxiv.org/abs/0807.4104v2

Mathematics

Algebraic Geometry

44 pages. Major changes: Remarks 4.5 and 4.6 added to clarify hypothesis of the main Theorem 4.4; Lemma 4.7 added to improve t

Scientific paper

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.

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