Affine complements in the projective space with the trivial group of automorphisms

Abstract

We construct a new class of affine complements ${\mathbb{P}}^M\setminus S$ with the trivial group of automorphisms, where $S\subset {\mathbb{P}}^M$ is a rational hypersurface, $M$ is odd and $M⩾5$.

12 pages, final version