The eventual paracanonical map of a variety of maximal Albanese dimension
Let Xbe a smooth complex projective variety such that the Albanese map of Xis generically ¿nite onto its image. Here we study the so-called eventual m-paracanonical map of X, whose existence is implied by the results of [4] (when m= 1 we also assume ¿(KX)>0). We show that for m= 1 this map behave...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/129972 |
| Acceso en línea: | https://hdl.handle.net/2117/129972 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometry, Algebraic Paracanonical map eventual map irregular varieties Geometria algebraica Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes Classificació AMS::14 Algebraic geometry::14J Surfaces and higher-dimensional varieties Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | Let Xbe a smooth complex projective variety such that the Albanese map of Xis generically ¿nite onto its image. Here we study the so-called eventual m-paracanonical map of X, whose existence is implied by the results of [4] (when m= 1 we also assume ¿(KX)>0). We show that for m= 1 this map behaves in a similar way to the canonical map of a surface of general type, as described in [6], while it is birational for m > 1. We also describe it explicitly in several examples. |
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