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Título:
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Motives and the Hodge conjecture for moduli spaces of pairs
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Autores:
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Muñoz, Vicente ;
Oliveira, André G. ;
Sánchez Hernández, Jonathan
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Tipo de documento:
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texto impreso
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Editorial:
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International Press, 2015-04
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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: Geometría
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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Let C be a smooth projective curve of genus g >= 2 over C. Fix n >= 1, d is an element of Z. A pair (E, phi) over C consists of an algebraic vector bundle E of rank n and degree d over C and a section phi is an element of H-0(E). There is a concept of stability for pairs which depends on a real parameter tau. Let M-tau (n, d) be the moduli space of tau-polystable pairs of rank n and degree d over C. We prove that for a generic curve C, the moduli space M-tau (n, d) satisfies the Hodge Conjecture for n
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En línea:
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https://eprints.ucm.es/id/eprint/31324/1/1207.5120v3.pdf
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