Mathematics – Algebraic Geometry
Scientific paper
2006-01-11
Mathematics
Algebraic Geometry
8 figures written by .eps
Scientific paper
We introduce a notion of tangential Alexander polynomials for plane curves
and study the relation with $\theta$^Alexander polynomial. As an application,
we use these polynomials to study a non-reduced degeneration $C_t \to D_0+jL$.
We show that there exists a certain surjectivity of the fundamental groups and
divisibility among their Alexander polynomials.
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