2 1 Se p 20 05 HIGHER - ORDER ALEXANDER INVARIANTS OF PLANE ALGEBRAIC CURVES

نویسنده

  • LAURENTIU MAXIM
چکیده

We define new higher-order Alexander modules An(C) and higherorder degrees δn(C) which are invariants of the algebraic planar curve C. These come from analyzing the module structure of the homology of certain solvable covers of the complement of the curve C. These invariants are in the spirit of those developed by T. Cochran in [2] and S. Harvey in [7] and [8], which were used to study knots, 3-manifolds, and finitely presented groups, respectively.

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تاریخ انتشار 2005