Singular hyperelliptic curves |
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Authors: | Masaaki Homma |
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Institution: | (1) Department of Mathematics, Kanagawa University, Rokkakubashi Kanagawa-ku, Yokohama 221-8686, Japan. E-mail: homma@cc.kanagawa-u.ac.jp, JP |
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Abstract: | Singular curves with a morphism of degree two onto a projective line should be classified into two types according as the
equipped morphism is separable or not; we call a curve with a separable one a hyperelliptic curve of separable type, and the
other a hyperelliptic curve of inseparable type. We give concrete expressions of a hyperelliptic curve of separable type by
means of its global “equation” and a hyperelliptic curve of inseparable type by means of its local rings. Furthermore, we
discuss about Weierstrass points of a hyperelliptic curve of inseparable type.
Received: 26 March 1997 / Revised version: 21 May 1998 |
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Keywords: | Mathematics Subject Classification (1991):14H20 14H55 |
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