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European Journal of Mathematics

, Volume 5, Issue 3, pp 828–844 | Cite as

Exotic \({\mathbb {G}}_{a}\)-quotients of \(\mathrm {SL}_{2}\times {\mathbb {A}}^{1}\)

  • Adrien DuboulozEmail author
Research Article
  • 13 Downloads

Abstract

Every deformed Koras–Russell threefold of the first kind \(Y=\{ x^{n}z=y^{m}-t^{r}+xh(x,y,t)\} \) in \({\mathbb {A}}^{4}\) is the algebraic quotient of proper Zariski locally trivial \({\mathbb {G}}_{a}\)-action on \(\mathrm {SL}_{2}\times {\mathbb {A}}^{1}\).

Keywords

Deformed Koras–Russell threefolds Zariski Cancellation Problem Exotic spheres Additive group actions 

Mathematics Subject Classification

14R05 14R20 14L30 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.IMB UMR5584, CNRSUniv. Bourgogne Franche-ComtéDijonFrance

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