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Sbornik: Mathematics, 2018, Volume 209, Issue 8, Pages 1248–1256
DOI: https://doi.org/10.1070/SM8971 (Mi sm8971) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A canonical basis of two-cycles on a $K3$ surface

I. A. Taimanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
English version PDF (413 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8971
Abstract: We construct a basis of two-cycles on a $K3$ surface; in this basis, the intersection form takes the canonical form $2E_8(-1) \oplus 3H$. Elements of the basis are realized by formal sums of smooth submanifolds.
Bibliography: 8 titles.
Keywords: $K3$ surface, intersection form.
Funding agency Grant number
Russian Science Foundation 14-11-00441
The research was supported by Russian Science Foundation under grant no. 14-11-00441.
Received: 22.05.2017 and 05.02.2018
Bibliographic databases:
Document Type: Article
UDC: 515.165.2+515.162.4
MSC: Primary 14J28; Secondary 57N13
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “A canonical basis of two-cycles on a $K3$ surface”, Sb. Math., 209:8 (2018), 1248–1256
Citation in format AMSBIB
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\by I.~A.~Taimanov
\paper A~canonical basis of two-cycles on a~$K3$ surface
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\yr 2018
\vol 209
\issue 8
\pages 1248--1256
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  • https://www.mathnet.ru/eng/sm/v209/i8/p152
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:509
    Russian version PDF:67
    English version PDF:31
    References:44
    First page:21
     
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