Abstract
We give a new construction of sheaves on a relative site associated to a product \(X \times S\) where S plays the role of a parameter space, expanding the previous construction by the same authors, where the subanalytic structure on S was required. Here we let this last condition fall. In this way the construction becomes much easier to apply when the dimension of S is bigger than one. We also study the functorial properties of base change with respect to the parameter space.
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The research of T. Monteiro Fernandes was supported by Fundação para a Ciência e Tecnologia, under the project: UIDB/04561/2020. The second author is a member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)
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Monteiro Fernandes, T., Prelli, L. Relative Subanalytic Sheaves II. Milan J. Math. 89, 387–411 (2021). https://doi.org/10.1007/s00032-021-00344-9
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DOI: https://doi.org/10.1007/s00032-021-00344-9