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Título:
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Bases of the homology spaces of the Hilbert scheme of points in an algebraic surface
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Autores:
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Sols, Ignacio ;
Hermoso, Carlos
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Tipo de documento:
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texto impreso
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Editorial:
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Editorial de la Universidad Complutense, 1996
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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/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
,
Materia = Ciencias: Matemáticas: Álgebra
,
Tipo = Artículo
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Resumen:
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For a complex surface S , proper, smooth and connected, the authors find two bases of the spaces of rational homology H n (Hilb d S) Q of the Hilbert scheme of subschemes of S of length d . The idea of the proof of the main theorem is to prove that the elements of the two candidates have as cardinalities the known Betti numbers of Hilb d S and to show that both intersect in a triangular matrix of nonzero diagonal entries. Papers on the subject which have a close connection with the present one are by B. Fantechi ["Base of the homology groups of the Hilbert scheme of points on a surface'', Preprint; per bibl.] and L. Göttsche [Math. Ann. 286 (1990), no. 1-3, 193–207
].
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En línea:
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https://eprints.ucm.es/id/eprint/20880/1/Sols28.pdf
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