지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The point $P \in \mathbb{P}^2$ is referred to as a Galois point for a nonsingular plane algebraic curve $C$ if the projection $\pi_P: C \rightarrow \mathbb{P}^1$ from $P$ is a Galois covering. In contrast, the point $P' \in C'$ is referred to as a weak Galois Weierstrass point of a nonsingular algebraic curve $C'$ if $P'$ is a Weierstrass point of $C'$ and a total ramification point of some Galois covering $f:C' \rightarrow \mathbb{P}^1$. In this paper, we discuss the following phenomena. For a nonsingular plane curve $C$ with a Galois point $P$ and a double covering $\varphi: C \rightarrow C'$, if there exists a common ramification point of $\pi_P$ and $\varphi$, then there exists a weak Galois Weierstrass point $P' \in C'$ with its Weierstrass semigroup such that $H(P')=\langle r,2r - 1 \rangle$ or $\langle r,2r + 1 \rangle$, which is a semigroup generated by two positive integers $r$ and $2r+1$ or $2r-1$, such that $P'$ is a branch point of $\varphi$. Conversely, for a weak Galois Weierstrass point $P' \in C'$ with $H(P')=\langle r,2r - 1 \rangle$ or $\langle r,2r + 1 \rangle$, there exists a nonsingular plane curve $C$ with a Galois point $P$ and a double covering $\varphi: C \rightarrow C'$ such that $P'$ is a branch point of $\varphi$.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
E. Arbarello / 1985 / Geometry of algebraic curves. Vol. I / Springer-Verlag
F. Torres / 1994 / Weierstrass points and double coverings of curves. With application: sym-metric numerical semigroups which cannot be realized as Weierstrass semigroups /
H. C. Chang / 1978 / On plane algebraic curves / Chinese J. Math 6 (2) : 185 ~ 189
H. Yoshihara / 2001 / Function field theory of plane curves by dual curves / J. Algebra 239 (1) : 340 ~ 355
I. Morrison / 1986 / Galois Weierstrass points and Hurwitz characters / Ann. Math. (2) 124 (3) : 591 ~ 625
F. Torres / 1994 / Weierstrass points and double coverings of curves. With application: sym-metric numerical semigroups which cannot be realized as Weierstrass semigroups /
H. C. Chang / 1978 / On plane algebraic curves / Chinese J. Math 6 (2) : 185 ~ 189
H. Yoshihara / 2001 / Function field theory of plane curves by dual curves / J. Algebra 239 (1) : 340 ~ 355
I. Morrison / 1986 / Galois Weierstrass points and Hurwitz characters / Ann. Math. (2) 124 (3) : 591 ~ 625
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Number of weak Galois-Weierstrass points with Weierstrass semigroups generated by two elements
대한수학회지
2019 .01
-
WEIERSTRASS SEMIGROUPS AT PAIRS OF NON-WEIERSTRASS POINTS ON A SMOOTH PLANE CURVE OF DEGREE 5
순수 및 응용수학
2020 .01
-
A Weierstrass Semigroup at a Generalized Flex on a Plane Curve
순수 및 응용수학
2021 .11
-
Weierstrass semigroups of pairs on H-hyperelliptic curves
순수 및 응용수학
2015 .01
-
Weierstrass semigroups on double covers of plane curves of degree six with total flexes
대한수학회보
2018 .01
-
A Weierstrass Semigroup at a Pair of inflection points with High Multiplicities
순수 및 응용수학
2022 .11
-
Weierstrass points on hyperelliptic modular curves
대한수학회논문집
2015 .01
-
On a class of constacyclic codes of length $2p^s$ over $\frac{\mathbb F_{p^m}[u]}{\left\langle u^a \right\rangle}$
대한수학회보
2018 .01
-
Nonlinear Complexity And Weierstrass Semigroup Of Two Rational Points On A Hermitian Curve
대한수학회보
2024 .09
-
Double covers of plane curves of degree six with almost total flexes
대한수학회보
2019 .01
-
Primitive idempotents in the ring $F_{4}[x]/\langle x^{p^{n}}-1\rangle$ and cyclotomic $Q$ codes
대한수학회보
2018 .01
-
Translation theorems for the analytic Fourier--Feynman transform associated with Gaussian paths on Wiener space
대한수학회지
2018 .01
-
Cyclic codes of length $p^s$ over $\frac{\mathbb{F}_{p^m}[u]}{\langle u^e \rangle}$
대한수학회논문집
2024 .01
-
Relative $\varphi$-type and relative $\varphi$-weak type based some growth properties of entire functions of several complex variables
한국수학논문집
2020 .01
-
Relative $(p,q)-\varphi$ order based some growth analysis of composite $p$-adic entire functions
한국수학논문집
2021 .01
-
On $\mathbb{Z}_p\mathbb{Z}_p[u]/\langle u^k\rangle$-cyclic codes and their weight enumerators
대한수학회지
2021 .01
-
On the Calculation of the Number of Galois Orbits
Kyungpook Mathematical Journal
2016 .01
-
2-TYPE SURFACES AND QUADRIC HYPERSURFACES SATISFYING 〈∆𝑥, 𝑥〉 = const
East Asian Mathematical Journal
2017 .01
-
Linear automorphisms of smooth hypersurfaces giving Galois points
대한수학회보
2021 .01
-
Cyclic codes over the ring ${\mathbb F}_p[u,v,w]/\langle u^2, v^2, w^2, uv-vu, vw-wv, uw-wu \rangle$
대한수학회보
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0