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Sbornik: Mathematics, 2009, Volume 200, Issue 11, Pages 1715–1729
DOI: https://doi.org/10.1070/SM2009v200n11ABEH004056 (Mi sm7513) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Hassett-Tschinkel correspondence and automorphisms of the quadric

E. V. Sharoiko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (283 kB) Citations (17)
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DOI: https://doi.org/10.1070/SM2009v200n11ABEH004056
Abstract: In this paper we study locally transitive actions of the commutative unipotent group $\mathbb G_a^n$ on a nondegenerate quadric in the projective space $\mathbb P^{n+1}$. It is shown that for each $n$ such an action is unique up to isomorphism.
Bibliography: 9 titles.
Keywords: automorphisms of quadrics, locally transitive actions.
Received: 09.12.2008 and 29.04.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 11, Pages 145–160
DOI: https://doi.org/10.4213/sm7513
Bibliographic databases:
UDC: 512.743.7
MSC: 14L30
Language: English
Original paper language: Russian
Citation: E. V. Sharoiko, “Hassett-Tschinkel correspondence and automorphisms of the quadric”, Mat. Sb., 200:11 (2009), 145–160; Sb. Math., 200:11 (2009), 1715–1729
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i11/p145
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:675
    Russian version PDF:212
    English version PDF:14
    References:41
    First page:5
     
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