Complex classification of singularities of reducible septic curves

Date

2016-05

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Abstract

There are 163 types of quadruple points, 139 types of quintuple points, and 25 types of sextuple points for complex reducible septic curves. 20 types of double points and 69 types of triple points are constructed for complex reducible septic curves. Thus, 417 types of singularities are exhibited.

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Keywords

Algebraic geometry, Singularity theory, Puiseux expansion, Puiseux theorem, Newton polygon, Classification

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