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Título:
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Divisors in global analytic sets
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Autores:
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Acquistapace, Francesca ;
Díaz-Cano Ocaña, Antonio
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Tipo de documento:
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texto impreso
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Editorial:
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European Mathematical Society, 2011
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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
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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 prove that any divisor Y of a global analytic set X subset of R(n) has a generic equation, that is, there is an analytic function vanishing on Y with multiplicity one along each irreducible component of Y. We also prove that there are functions with arbitrary multiplicities along Y. The main result states that if X is pure dimensional, Y is locally principal, X \ Y is not connected and Y represents the zero class in H(q-1)(infinity) (X, Z(2)) then the divisor Y is globally principal.
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En línea:
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https://eprints.ucm.es/id/eprint/14977/1/02.pdf
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