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Néron-Severi Group

Let $V$ be a complete normal Variety, and write $G(V)$ for the group of divisors, $G_n(V)$ for the group of divisors numerically equal to 0, and $G_a(V)$ the group of divisors algebraically equal to 0. Then the finitely generated Quotient Group ${\it NS}(V)=G(V)/G_a(V)$ is called the Néron-Severi group.


Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 75, 1980.

© 1996-9 Eric W. Weisstein