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On the field of definition of vector bundles on real varieties

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Abstract

We consider the possibility of defining over small fields the generators for theK-theory of strongly algebraic vector bundles on a real smooth variety. Furthermore we discuss how to construct in an explicit way algebraic models (defined over small fields and with other good arithmetic properties) of two-dimensional disconnected differential manifolds (and related singular spaces).

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Authors and Affiliations

  1. Dept. of Mathematics, University of Trento, 38050, Povo (TN), Italy

    E. Ballico

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  1. E. Ballico
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Dedicated to the memory of C. Banica

This work was partially sponsored by MURST and GNSAGA of CNR (Italy).

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Ballico, E. On the field of definition of vector bundles on real varieties. Geom Dedicata 47, 317–325 (1993). https://doi.org/10.1007/BF01263663

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  • DOI: https://doi.org/10.1007/BF01263663

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