𝔸<sup>1</sup>-connected components and characterisation of 𝔸<sup>2</sup>-Reference-Cited by-同舟云学术

𝔸¹-connected components and characterisation of 𝔸²

Published:2023-12-13 Issue:0 Volume:0 Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Choudhury Utsav¹,Roy Biman¹

Affiliation:

1. Statistics and Mathematics Unit , Indian Statistical Institute , 203 B.T. Road , Kolkata 700108 , India

Abstract

Abstract In this article, we prove that any A 1

\mathbb{A}^{1}

-contractible smooth complex surface is isomorphic as a variety to C 2

\mathbb{C}^{2}

. We show that the A 1

\mathbb{A}^{1}

-connected component of a variety 𝑋 contains the information about A 1

\mathbb{A}^{1}

’s in 𝑋.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2023-0084/pdf

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