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Smooth affine varieties and complete intersections

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Abstract

This paper consists of two independent parts. First I give a Chern class condition that is sufficient for a smooth surface in affinen-space to be a set-theoretic complete intersection. In the second part I show the existence of a smooth affine fourfold over C which is not a complete intersection in anyA n although its canonical bundle is trivial.

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  1. Schraudolphstr. 14a, 80799, München, Germany

    Peter Hauber

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  1. Peter Hauber
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Hauber, P. Smooth affine varieties and complete intersections. Manuscripta Math 83, 265–277 (1994). https://doi.org/10.1007/BF02567613

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  • DOI: https://doi.org/10.1007/BF02567613

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