Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
QUADRATIC VANISHING CYCLES, REDUCTION CURVES AND REDUCTION OF THE MONODROMY GROUP OF PLANE CURVE SINGULARITIES
NORBERT A'CAMPO
著者情報
ジャーナル フリー

2001 年 53 巻 4 号 p. 533-552

詳細
抄録
The geometric local monodromy of a plane curve singularity is a diffeomorphism of a compact oriented surface with non empty boundary. The monodromy diffeomorphism is a product of right Dehn twists, where the number of factors is equal to the rank of the first homology of the surface. The core curves of the Dehn twists are quadratic vanishing cycles of the singularity. Moreover, the monodromy diffeomorphism decomposes along reduction curves into pieces, which are invariant, such that the restriction of the monodromy on each piece is isotopic to a diffeomorphism of finite order. In this paper we determine the mutual positions of the core curves of the Dehn twists, which appear in the decomposition of the monodromy, together with the positions of the reduction curves of the monodromy.
著者関連情報

この記事は最新の被引用情報を取得できません。

© 2001 by THE TOHOKU UNIVERSITY
前の記事 次の記事
feedback
Top