Weierstrass semigroups whose minimum positive integers are even |
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Authors: | Jiryo Komeda |
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Institution: | (1) Department of Mathematics, Center for Basic Education and Integrated Learning, Kanagawa Institute of Technology, Atsugi 243-0292, Japan |
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Abstract: | We consider three subsets of the set of 2n-semigroups, where for a positive integer n a 2n-semigroup means a numerical semigroup whose minimum positive integer is 2n. These three subsets are obtained by the Weierstrass semigroups of total ramification points on a cyclic covering of the
projective line, the Weierstrass semigroups of ramification points on a double covering of a non-singular curve and the Weierstrass
semigroups of points on a non-singular curve. We show that the three subsets are different for n ≧ 3.
Partially supported by Grant-in-Aid for Scientific Research (17540046), Japan Society for the Promotion of Science.
Received: 19 June 2006 |
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Keywords: | Primary 14H55 Secondary 14H30 14M25 |
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