Title of article :
Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve Original Research Article
Author/Authors :
Mamoru Asada، نويسنده , , Makoto Matsumoto، نويسنده , , Takayuki Oda، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1995
Abstract :
We consider the universal local deformation of a stable pointed curve and the associated monodromy representation on the fundamental group of a smooth fiber of this deformation. The image of the monodromy is an abelian subgroup of the outer automorphism of the fundamental group of a smooth fiber, and has a filtration induced from the weight filtration of the fundamental group. By using a graph of groups, we give a combinatorial description of the monodromy representation, and show that the induced filtration is determined by graph-theoretic invariants of the dual graph of the stable pointed curve.
Journal title :
Journal of Pure and Applied Algebra
Journal title :
Journal of Pure and Applied Algebra