TL;DR
This paper establishes that an affine cone can be obtained as a surjective image of an affine space precisely when it is unirational, linking geometric properties with morphism existence.
Contribution
It provides a characterization of affine cones that are images of affine spaces through the property of unirationality.
Findings
Affine cones are images of affine spaces if and only if they are unirational.
The paper offers a clear criterion connecting geometric structure with morphism properties.
It advances understanding of the relationship between affine cones and affine spaces.
Abstract
We prove that an affine cone admits a surjective morphism from an affine space if and only if is unirational.
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