5 citations · 7 across the 5 of their papers we have counts for
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Singular Points of High Multiplicity for Septic Curves
Nicholas J. Willis, David A. Weinberg
For real irreducible algebraic curves of the seventh degree, there are 22 types of singular points of multiplicity six, 174 types of singular points of multiplicity five, and at le…
How to Compute a Puiseux Expansion
Nicholas J. Willis, Annie K. Didier, Kevin M. Sonnanburg
In this paper, an explanation of the Newton-Peiseux algorithm is given. This explanation is supplemented with well-worked and explained examples of how to use the algorithm to find…
Singular Points of Reducible Sextic Curves
David A. Weinberg, Nicholas J. Willis
There are 106 individual types of singular points for reducible complex sextic curves.
Singular Points of Real Quintic Curves Via Computer Algebra
David A. Weinberg, Nicholas J. Willis
There are 42 types of real singular points for irreducible real quintic curves and 49 types of real singular points for reducible real quintic curves. The classification of real si…
Singular points of real quartic curves via computer algebra
David A. Weinberg, Nicholas J. Willis
There are thirteen types of singular points for irreducible real quartic curves and seventeen types of singular points for reducible real quartic curves. This classification is ori…