Ivan Arzhantsev, “Affine cones as images of affine spaces”, Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Matematicheskogo Instituta imeni V.A. Steklova

RUS ENG

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Forthcoming paper (Mi tm4449)

Affine cones as images of affine spaces

Ivan Arzhantsev

HSE University, Moscow

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

Funding agency	Grant number
HSE Basic Research Program
The article was prepared within the framework of the project ``International academic cooperation'' HSE University.

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

Document Type: Article

UDC: 512.7, 512.714

MSC: Primary 14A10, 14M20; Secondary 14E08, 14R10

Language: Russian

Linking options:

https://www.mathnet.ru/eng/tm4449

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles