Weierstrass gap sequences at points of curves on some rational surfaces
| Autor: | Akira Ohbuchi, Jiryo Komeda |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Discrete mathematics
14H30 Weierstrass functions Plane curve Blowing-up of a rational surface 14H55 Multiplicity (mathematics) Hessian form of an elliptic curve Weierstrass semigroup 14H50 symbols.namesake Jacobian curve Weierstrass factorization theorem symbols Algebraically closed field 14J26 Computer Science::Data Structures and Algorithms Double covering of a curve Smooth plane curve Tripling-oriented Doche–Icart–Kohel curve Mathematics Weierstrass gap sequence |
| Zdroj: | Tsukuba J. Math. 36, no. 2 (2013), 217-233 |
| ISSN: | 0387-4982 |
| Popis: | Let $\tilde{C}$ be a non-singular plane curve of degree d ≥ 8 with an involution σ over an algebraically closed field of characteristic 0 and $\tilde{P}$ a point of $\tilde{C}$ fixed by σ. Let π : $\tilde{C}$ → C = $\tilde{C}$/$/\langle\sigma\rangle $be the double covering. We set P = π($\tilde{P}$). When the intersection multiplicity at $\tilde{P}$ of the curve $\tilde{C}$ and the tangent line at $\tilde{P}$ is equal to d − 3 or d − 4, we determine the Weierstrass gap sequence at P on C using blowing-ups and blowing-downs of some rational surfaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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