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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 377, Pages 26–43 (Mi znsl3811)  
This article is cited in 24 scientific papers (total in 24 papers)

Singular del Pezzo surfaces that are equivariant compactifications

U. Derenthala, D. Loughranb

a Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany
b Department of Mathematics, University Walk, Bristol, UK
Full-text PDF (646 kB) Citations (24)
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Abstract: We determine which singular del Pezzo surfaces are equivariant compactifications of $\mathbb G_\mathrm a^2$, to assist with proofs of Manin's conjecture for such surfaces. Additionally, we give an example of a singular quartic del Pezzo surface that is an equivariant compactification of $\mathbb G_\mathrm a\rtimes\mathbb G_\mathrm m$. Bibl. 32 titles.
Key words and phrases: del Pezzo surfaces, rational points, Manin's conjecture, equivariant compactifications, Dynkin diagrams, blow-up.
Received: 09.06.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 6, Pages 714–724
DOI: https://doi.org/10.1007/s10958-010-0174-9
Bibliographic databases:
Document Type: Article
UDC: 512.752+511.515
Language: English
Citation: U. Derenthal, D. Loughran, “Singular del Pezzo surfaces that are equivariant compactifications”, Studies in number theory. Part 10, Zap. Nauchn. Sem. POMI, 377, POMI, St. Petersburg, 2010, 26–43; J. Math. Sci. (N. Y.), 171:6 (2010), 714–724
Citation in format AMSBIB
\Bibitem{DerLou10}
\by U.~Derenthal, D.~Loughran
\paper Singular del Pezzo surfaces that are equivariant compactifications
\inbook Studies in number theory. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 377
\pages 26--43
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3811}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 6
\pages 714--724
\crossref{https://doi.org/10.1007/s10958-010-0174-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650055772}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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