English

Exotic Ga-quotients of SL$_2 \times \mathbb{A}^1$

Algebraic Geometry 2019-02-04 v1

Abstract

Every deformed Koras-Russell threefold of the first kind Y={xnz=ymtr+xh(x,y,t)}Y = \left\{ x^{n}z=y^{m}-t^{r} + xh(x,y,t)\right\} in A4\mathbb{A}^{4} is the algebraic quotient of proper Zariski locally trivial Ga\mathbb{G}_a-action on SL2×A1\mathrm{SL}_2 \times \mathbb{A}^1.

Keywords

Cite

@article{arxiv.1902.00372,
  title  = {Exotic Ga-quotients of SL$_2 \times \mathbb{A}^1$},
  author = {Adrien Dubouloz},
  journal= {arXiv preprint arXiv:1902.00372},
  year   = {2019}
}