This article is cited in 1 paper

Affine Cones as Images of Affine Spaces

I. V. Arzhantsev

Faculty of Computer Science, HSE University, Pokrovsky Bulv. 11, Moscow, 109028 Russia

Abstract: We prove that an affine cone $X$ admits a surjective morphism from an affine space if and only if $X$ is unirational.

Keywords: affine space, affine cone, projective variety, surjective morphism, unirational variety, elliptic variety.

Received: June 12, 2024
Revised: June 26, 2024
Accepted: September 17, 2024

DOI: 10.4213/tm4449

 English version: Proceedings of the Steklov Institute of Mathematics, 2025, 329, 26–32

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