| Título: | On the Bicanonical Morphism of quadruple Galois canonical covers |
| Autores: | Gallego Rodrigo, Francisco Javier ; Purnaprajna, Bangere P. |
| Tipo de documento: | texto impreso |
| Editorial: | American Mathematical Society, 2011-03-07 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Tipo = Artículo |
| Resumen: |
I In this article we study the bicanonical map ?2 of quadruple Galois canonical covers X of surfaces of minimal degree. We show that ?2 has diverse behavior and exhibits most of the complexities that are possible for a bicanonical map of surfaces of general type, depending on the type of X. There are cases in which ?2 is an embedding, and if it so happens, ?2 embeds X as a projectively normal variety, and there are cases in which ?2 is not an embedding. If the latter, ?2 is finite of degree 1, 2 or 4. We also study the canonical ring of X, proving that it is generated in degree less than or equal to 3 and finding the number of generators in each degree. For generators of degree 2 we find a nice general formula which holds for canonical covers of arbitrary degrees. We show that this formula depends only on the geometric and the arithmetic genus of X. |
| En línea: | https://eprints.ucm.es/id/eprint/12608/1/2011onthebicanonical.pdf |
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