𝔸1-contractibility of affine modifications-Reference-Cited by-同舟云学术

𝔸1-contractibility of affine modifications

Published:2019-10-15 Issue:14 Volume:30 Page:1950069
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Dubouloz Adrien¹,Pauli Sabrina²,Østvær Paul Arne²

Affiliation:

1. IMB UMR5584, CNRS, Université de, Bourgogne Franche-Comté, Dijon, France

2. Department of Mathematics, University of Oslo, Norway

Abstract

We introduce Koras–Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine [Formula: see text]-contractible [Formula: see text]-folds. Moreover, we give examples of stably [Formula: see text]-contractible smooth affine [Formula: see text]-folds containing a Brieskorn–Pham surface, and a family of smooth affine [Formula: see text]-folds with a higher-dimensional [Formula: see text]-contractible total space.

Funder

RCN Frontier Research Group

ISITE-BFC

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X19500691

Reference52 articles.

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