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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
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.
Received: 22.05.2017 and 05.02.2018
Citation:
I. A. Taimanov, “A canonical basis of two-cycles on a $K3$ surface”, Mat. Sb., 209:8 (2018), 152–160; Sb. Math., 209:8 (2018), 1248–1256
Linking options:
https://www.mathnet.ru/eng/sm8971https://doi.org/10.1070/SM8971 https://www.mathnet.ru/eng/sm/v209/i8/p152
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Abstract page: | 451 | Russian version PDF: | 57 | English version PDF: | 22 | References: | 37 | First page: | 21 |
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