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- W2132572463 abstract "We give a new method of constructing a non-Weierstrass semigroup H, which means that there is no smooth projective pointed curve over an algebracally closed field of characteristic 0 whose Weierstrass semigroup is H. This method depends on a description of a pointed smooth projective curve such that there exists a double covering of the curve ramified over the point with a certain condition on the genus of the covering curve. Using this we find non-Weierstrass semigroups whose minimum positive integers are 8 and 12, respectively." @default.
- W2132572463 created "2016-06-24" @default.
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- W2132572463 date "2013-01-31" @default.
- W2132572463 modified "2023-09-23" @default.
- W2132572463 title "Double Coverings of Curves and Non-Weierstrass Semigroups" @default.
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- W2132572463 doi "https://doi.org/10.1080/00927872.2011.629324" @default.
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