Generalized Weierstrass semigroups and their Poincaré series
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Acceso en línea: | |
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| _version_ | 1866913652277248000 |
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| author | Moyano-Fernández, Julio José Tenório, Wanderson Torres, Fernando |
| author_facet | Moyano-Fernández, Julio José Tenório, Wanderson Torres, Fernando |
| contents | We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that enables us to deduce properties concerned with the arithmetical structure of divisors supported on the specified points and their corresponding Riemann-Roch spaces. This characterization allows us to show that the Poincaré series associated with generalized Weierstrass semigroups carry essential information to describe entirely their respective semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_03733 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Generalized Weierstrass semigroups and their Poincaré series Moyano-Fernández, Julio José Tenório, Wanderson Torres, Fernando Algebraic Geometry 14H55, 14G15, 13D40 We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that enables us to deduce properties concerned with the arithmetical structure of divisors supported on the specified points and their corresponding Riemann-Roch spaces. This characterization allows us to show that the Poincaré series associated with generalized Weierstrass semigroups carry essential information to describe entirely their respective semigroups. |
| title | Generalized Weierstrass semigroups and their Poincaré series |
| topic | Algebraic Geometry 14H55, 14G15, 13D40 |
| url | https://arxiv.org/abs/1706.03733 |