Exotic $\mathbb{G}_a$-quotients of $SL_2 \times \mathbb{A}^1$

Adrien Dubouloz (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

Every deformed Koras–Russell threefold of the first kind Y={xnz=ym−tr+xh(x,y,t)} in A4 is the algebraic quotient of proper Zariski locally trivial Ga-action on SL2×A1.

Mots clés: Additive group actions; Deformed Koras–Russell threefolds; Exotic spheres; Zariski Cancellation Problem

Domaines: Mathématiques [math]

Adrien Dubouloz. Exotic $\mathbb{G}_a$-quotients of $SL_2 \times \mathbb{A}^1$. European Journal of Mathematics, 2019, ⟨10.1007/s40879-019-00355-2⟩. ⟨hal-02194602⟩