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Título:
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Deformations of canonical triple covers
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Autores:
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Gallego Rodrigo, Francisco Javier ;
González, M. ;
Purnaprajna, B.P.
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Tipo de documento:
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texto impreso
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Editorial:
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Academic Press Inc., 2016
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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In this paper, we show that if X is a smooth variety of general type of dimension m?3 for which the canonical map induces a triple cover onto Y, where Y is a projective bundle over P1 or onto a projective space or onto a quadric hypersurface, embedded by a complete linear series (except Q3 embedded in P4), then the general deformation of the canonical morphism of X is again canonical and induces a triple cover. The extremal case when Y is embedded as a variety of minimal degree is of interest, due to its appearance in numerous situations. For instance, by looking at threefolds Y of minimal degree we find components of the moduli of threefolds X of general type with KX3=3pg?9,KX3?6, whose general members correspond to canonical triple covers. Our results are especially interesting as well because they have no lower dimensional analogues.
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En línea:
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https://eprints.ucm.es/39250/1/Gallego18libre.pdf
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