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A Weierstrass Semigroup at a Generalized Flex on a Plane Curve
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We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree $d\ge 5$, and give some examples to show the existence of them
Abstract
We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree $d\ge 5$, and give some examples to show the existence of them
참고문헌 (5)
- E. Arbarello, "Geometry of Algebraic Curves I" (1985), Springer-Verlag
- B. Brieskorn, "Plane Algebraic Curves" (2012), Springer
- S.J. Kim, "The Weierstrass semigroups on the quotient curve of a plane curve of degree 7 by an involution", Journal of Algebra, 322, pp.137~152 (2009)
- M. Namba, "Families of meromorphic functions on compact Riemann surfaces" (1979), Springer-Verlag
- J.G. Semple, "Introduction to Algebraic Geometry" (1985), Oxford University Press
관련 논문AI추천
A Weierstrass Semigroup at a Pair of inflection points with High Multiplicities강은주, 김선정한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제4호Weierstrass semigroups on double covers of plane curves of degree six with total flexes김선정, Jiryo Komeda대한수학회 · 대한수학회보2018 · 제55권 제2호Double covers of plane curves of degree six with almost total flexes김선정, Jiryo Komeda대한수학회 · 대한수학회보2019 · 제56권 제5호WEIERSTRASS SEMIGROUPS AT PAIRS OF NON-WEIERSTRASS POINTS ON A SMOOTH PLANE CURVE OF DEGREE 5김선정, 천은주한국수학교육학회 · 이론수학과 교직수학2020 · 제27권 제4호A Weierstrass semigroup at a pair of inflection points on a smooth plane curve강은주, 김선정대한수학회 · 대한수학회보2007 · 제44권 제2호On extensions of double coverings of plane curves and Weierstrass semigroupsJiryo Komeda, Kenta Watanabe대한수학회 · 대한수학회보2025 · 제62권 제2호
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