A1-connected components and characterisation of A2

Article Type

Research Article

Publication Title

Journal Fur Die Reine Und Angewandte Mathematik

Abstract

In this article, we prove that any A1-contractible smooth complex surface is isomorphic as a variety to C2. We show that the A1-connected component of a variety X contains the information about A1’s in X.

First Page

55

Last Page

80

DOI

10.1515/crelle-2023-0084

Publication Date

2-1-2024

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