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Smoothness and tangent bundles of arithmetical schemes

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Abstract.

We study a notion of quasi-smoothness which makes possible to associate a canonical tangent bundle to certain arithmetical schemes (see [V1]). In this context we prove that we can associate a jacobian ideal to any irreducible subscheme. A class of regular centers, so that quasi-smoothness is preserved by blowing-up, will be enlarged and characterized by means of their jacobian ideal and some geometrical conditions, improving the results appearing in [V1].

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Authors and Affiliations

  1. Dpto. Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Canto Blanco 28049 Madrid, Spain (e-mail: {ana.bravo, villamayor}@uam.es), , , , , , ES

    A. Bravo & O.Villamayor U.

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  1. A. Bravo
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  2. O.Villamayor U.
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Received: 16 April 1999; in final form: 5 June 2000 / Published online: 25 June 2001

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Bravo, A., U., O. Smoothness and tangent bundles of arithmetical schemes. Math Z 239, 159–182 (2002). https://doi.org/10.1007/s002090100290

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  • DOI: https://doi.org/10.1007/s002090100290

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