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Título:
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On the Picard Group of Low-codimension Subvarieties
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Autores:
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Arrondo Esteban, Enrique ;
Caravantes, Jorge
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Tipo de documento:
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texto impreso
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Editorial:
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Indiana University, 2009
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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
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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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We introduce a method to determine if n-dimensional smooth subvarieties of an ambient space of dimension at most 2n - 2 inherits the Picard group from the ambient space (as it happens when the ambient space is a projective space, according to results of Barth and Larsen). As an application, we give an affirmative answer (LIP to some mild natural numerical conditions) when the ambient space is a Grassmannian of lines (thus improving results of Barth, Van de Ven and Sommese) or a product of two projective spaces of the same dimension.
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En línea:
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https://eprints.ucm.es/id/eprint/14769/1/07.pdf
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