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Free and nearly free curves vs. rational cuspidal plane curves - MaRDI portal

Free and nearly free curves vs. rational cuspidal plane curves (Q1707960)

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scientific article; zbMATH DE number 6855740
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Free and nearly free curves vs. rational cuspidal plane curves
scientific article; zbMATH DE number 6855740

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    Free and nearly free curves vs. rational cuspidal plane curves (English)
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    4 April 2018
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    In this article the authors introduce the definitions of a free curve and a nearly free curve. They also show properties that these curves satisfy and they exhibit interesting examples. The main result shows that a rational cuspidal curve is either a free curve or a nearly free curve when the degree of the curve is either even or a prime power, or when the group of curve is abelian.
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    free divisor
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    rational cuspidal curve, Jacobian ideal
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    Milnor algebra
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