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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 25–36 (Mi tm797)  
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
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 18–29
DOI: https://doi.org/10.1134/S0081543809010039
Bibliographic databases:
UDC: 512.7
Language: English
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
Citation in format AMSBIB
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\by L.~Borisov, J.~Viaclovsky
\paper Threefolds of Order One in the Six-Quadric
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 25--36
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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