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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 403 - 412 (10page)
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Kato[6] and Torres[9] characterized the Weierstrass semigroup of rami-fication points on h-hyperelliptic curves. Also they showed the converse results that if the Weierstrass semigroup of a point P on a curve C satisfies certain numerical condition then C can be a double cover of some curve and P is a ramification point of that double covering map. In this paper we expand their results on the Weier- strass semigroup of a ramification point of a double covering map to the Weierstrass semigroup of a pair (P;Q). We characterized the Weierstrass semigroup of a pair (P;Q) which lie on the same fiber of a double covering map to a curve with relatively small genus. Also we proved the converse: if the Weierstrass semigroup of a pair (P;Q) satisfies certain numerical condition then C can be a double cover of some curve and P, Q map to the same point under that double covering map.
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참고문헌 (9)
참고문헌 신청
E. Arbarello / 1985 / Geometry of Algebraic Curves, I / Springer-Verlag
E. Kang / 2003 / Special pairs in the generating subset of theWeierstrass semigroup at a pair / Geom. Dedicata 99 (1) : 167 ~ 177
F. Torres / 1994 / Weierstrass points and double coverings of curves with application: Sym-metric numerical semigroups which cannot be realized as Weierstrass semigroups / Ma
H.M. Farkas / 1980 / Graduate Texts in Mathematics 71 / Springer-Verlag
M. Homma / 1996 / The Weierstrass semigroup of a pair of points on a curve / Arch. Math 67 : 337 ~ 348
E. Kang / 2003 / Special pairs in the generating subset of theWeierstrass semigroup at a pair / Geom. Dedicata 99 (1) : 167 ~ 177
F. Torres / 1994 / Weierstrass points and double coverings of curves with application: Sym-metric numerical semigroups which cannot be realized as Weierstrass semigroups / Ma
H.M. Farkas / 1980 / Graduate Texts in Mathematics 71 / Springer-Verlag
M. Homma / 1996 / The Weierstrass semigroup of a pair of points on a curve / Arch. Math 67 : 337 ~ 348
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