On certain curves of genus three in characteristic two
| Autor: | Renato Vidal Martins, Paulo Henrique Viana, Jaime E. A. Rodriguez, Oscar Paz la Torre |
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| Rok vydání: | 2008 |
| Předmět: |
Sequence
Pure mathematics Weierstrass functions General Mathematics Mathematics::History and Overview Dimension (graph theory) Mathematical analysis Moduli Nonlinear Sciences::Exactly Solvable and Integrable Systems Genus (mathematics) Order (group theory) Mathematics::Differential Geometry Algebraically closed field Theta characteristic Mathematics |
| Zdroj: | Bulletin of the Brazilian Mathematical Society, New Series. 39:137-155 |
| ISSN: | 1678-7714 1678-7544 |
| DOI: | 10.1007/s00574-008-0076-3 |
| Popis: | We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of them which have two Weierstrass points with Weierstrass directions towards the support of the theta characteristic. We answer questions related to order sequence and Weierstrass weight of Weierstrass points and the existence of other Weierstrass points with similar properties. |
| Databáze: | OpenAIRE |
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