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arxiv: 1902.00372 · v1 · pith:EUICWKNZnew · submitted 2019-02-01 · 🧮 math.AG

Exotic Ga-quotients of SL₂ times mathbb{A}¹

Adrien Dubouloz (IMB) This is my paper
classification 🧮 math.AG
keywords mathbbtimesactionalgebraicdeformedeveryexoticfirst
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Every deformed Koras-Russell threefold of the first kind $Y = \left\{ x^{n}z=y^{m}-t^{r} + xh(x,y,t)\right\}$ in $\mathbb{A}^{4}$ is the algebraic quotient of proper Zariski locally trivial $\mathbb{G}_a$-action on $\mathrm{SL}_2 \times \mathbb{A}^1$.

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  1. Rees algebras of additive group actions

    math.AG 2019-06 unverdicted novelty 5.0

    Introduces the relative Rees algebra of Ga,S-actions on relative affine schemes, establishes its basic properties, and applies it to examples from locally nilpotent derivations and families of affine threefolds.