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AFFINE EXTENSIONS OF PRINCIPAL ADDITIVE BUNDLES OVER A PUNCTURED SURFACE

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Abstract

The aim of this article is to make a first step towards the classification of complex normal affine

α -threefolds X. We consider the case where the restriction of the quotient morphism π: X → S to π−1 (S * ), where S * denotes the complement of some regular closed point in S, is a principal

α -bundle. The variety SL2 will be of special interest and a source of many examples. It has a natural right

α -action such that the quotient morphism SL2 →

2 restricts to a principal

α -bundle over the punctured plane

.

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Authors and Affiliations

  1. Departement Mathematik und Informatik, Fachbereich Mathematik, Spiegelgasse 1, CH-4051, Basel, Switzerland

    ISAC HEDÉN

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  1. ISAC HEDÉN
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Correspondence to ISAC HEDÉN.

Additional information

This work was done as part of PhD studies at the Department of Mathematics, Uppsala University; the support from the Swedish graduate school in Mathematics and Computing (FMB) is gratefully acknowledged. Many thanks also go to Karl-Heinz Fieseler for his supervision.

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HEDÉN, I. AFFINE EXTENSIONS OF PRINCIPAL ADDITIVE BUNDLES OVER A PUNCTURED SURFACE. Transformation Groups 21, 427–449 (2016). https://doi.org/10.1007/s00031-015-9348-3

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  • DOI: https://doi.org/10.1007/s00031-015-9348-3

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