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Título:
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Moduli space of principal sheaves over projective varieties
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Autores:
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Sols, Ignacio ;
Gómez, Tomás L.
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Tipo de documento:
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texto impreso
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Editorial:
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Princeton University, 2005-03
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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: Álgebra
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Tipo = Artículo
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Resumen:
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Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to higher dimension, allowing also objects which we call semistable principal G-sheaves, in order to obtain a projective moduli space: a principal G-sheaf on a projective variety X is a triple (P, E, psi), where E is a torsion free sheaf on X, P is a principal G-bundle on the open set U where E is locally free and psi is an isomorphism between E vertical bar(U) and the vector bundle associated to P by the adjoint representation.
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En línea:
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https://eprints.ucm.es/id/eprint/20368/1/Sols06libre.pdf
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