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Matematicheskie Zametki, 2020, Volume 107, Issue 1, Pages 3–10
DOI: https://doi.org/10.4213/mzm12389 (Mi mzm12389) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Forms of the Segre Cubic

A. Avilov

Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
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DOI: https://doi.org/10.4213/mzm12389
Abstract: The forms of the Segre cubic over non-algebraically closed fields, their automorphisms groups, and equivariant birational rigidity are studied. In particular, it is shown that all forms of the Segre cubic over any field have a point and are cubic hypersurfaces.
Keywords: forms of manifolds, automorphism group, birational rigidity.
Funding agency Grant number
Russian Science Foundation 18-11-00121
Contest «Young Russian Mathematics»
This work was supported by the Russian Science Foundation under grant 18-11-00121.
Received: 31.12.2018
Revised: 24.03.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 1, Pages 3–9
DOI: https://doi.org/10.1134/S0001434620010010
Bibliographic databases:
Document Type: Article
UDC: 512.765+512.776
Language: Russian
Citation: A. Avilov, “Forms of the Segre Cubic”, Mat. Zametki, 107:1 (2020), 3–10; Math. Notes, 107:1 (2020), 3–9
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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