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Variety of Special Linear Systems on k-Sheeted Coverings |
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| Authors: | Takao Kato Changho Keem Akira Ohbuchi |
| Institution: | (1) Department of Mathematics, Faculty of Science, Yamaguchi University, Yamaguchi, 753, Japan . E-mail;(2) Department of Mathematics, Seoul National University, Seoul, 151-742, South Korea e-mail;(3) Department of Mathematics, Faculty of Integrated Arts and Sciences, Tokushima University, Tokushima, 770, Japan. E-mail |
| Abstract: | Irreducibility of W1
d (X) for d  g - (k - 2) (h + 3)/2] - h+ 1, where X is a curve of genus g which admits an odd prime degree k map onto a general curve C of genus h > 0 is proved. Also, the existence of a component of W1
d(X) with expected dimension on a general k-sheeted covering X over a curve C is shown. |
| Keywords: | algebraic curves linear series branched covering |
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