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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 25–36
(Mi tm797)
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This article is cited in 1 scientific paper (total in 1 paper)
Threefolds of Order One in the Six-Quadric
L. Borisov, J. Viaclovsky Department of Mathematics, University of Wisconsin, Madison, WI, USA
Abstract:
Consider the smooth quadric $Q_6$ in $\mathbb P^7$. The middle homology group $H_6(Q_6,\mathbb Z)$ is isomorphic to $\mathbb Z\oplus\mathbb Z$, with a basis given by two classes of linear subspaces. We classify all threefolds of bidegree $(1,p)$ inside $Q_6$.
Received in September 2008
Citation:
L. Borisov, J. Viaclovsky, “Threefolds of Order One in the Six-Quadric”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 25–36; Proc. Steklov Inst. Math., 264 (2009), 18–29
Linking options:
https://www.mathnet.ru/eng/tm797 https://www.mathnet.ru/eng/tm/v264/p25
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Abstract page: | 247 | Full-text PDF : | 48 | References: | 42 |
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