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11.
Jiryo Komeda 《Semigroup Forum》2011,83(3):479-488
Let C be a complete non-singular curve of genus 3 over an algebraically closed field of characteristic 0. We determine all possible
Wierstrass semigroups of ramification points on double coverings of C whose covering curves have genus greater than 8. Moreover, we construct double coverings with ramification points whose Weierstrass
semigroups are the possible ones. 相似文献
12.
Jiryo Komeda 《Archiv der Mathematik》2007,89(1):52-59
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 相似文献
13.
We describe the Weierstrass semigroup of a Galois Weierstrass point with prime degree and the Weierstrass semigroup of a pair of Galois Weierstrass points with prime degree, where a Galois Weierstrass point with degree n means a total ramification point of a cyclic covering of the projective line of degree n.*Supported by Korea Research Foundation Grant (KRF-2003-041-C20010).**Partially supported by Grant-in-Aid for Scientific Research (15540051), JSPS. 相似文献
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We classify all the Weierstrass semigroups of a pair of points on a curve of genus 3, by using its canonical model in the plane. Moreover, we count the dimension of the moduli of curves which have a pair of points with a specified Weierstrass semigroup.This work has been supported by the Japan Society for the Promotion of Science and the Korea Science and Engineering Foundation (Project No. 976-0100-001-2). Also the first author is partially supported by Korea Research Foundation Grant (KRF-99-005-D00003). 相似文献