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Título:
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Integration over a space of non-parametrized arcs, and motivic analogues of the monodromy zeta function
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Autores:
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Melle Hernández, Alejandro ;
Gusein-Zade, Sabir Medgidovich ;
Luengo Velasco, Ignacio
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2006
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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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Notions of integration of motivic type over the space of arcs factorized by the natural C*-action and over the space of nonparametrized arcs (branches) are developed. As an application, two motivic versions of the zeta function of the classical monodromy transformation of a germ of an analytic function on ?d are given that correspond to these notions. Another key ingredient in the construction of these motivic versions of the zeta function is the use of the so-called power structure over the Grothendieck ring of varieties introduced by the authors.
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En línea:
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https://eprints.ucm.es/id/eprint/13920/1/20040407201v1.pdf
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