Abstract
In this chapter we present, following Kleiman [Kle], the cohomological theory of intersection, the Nakai—Moishezon criterion of ampleness for divisors, and some of its more important consequences. Furthermore, we prove that every nonsingular complete surface is projective.
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Bibliographic References
S. Kleiman, Towards a numerical theory of ampleness. Ann. Of Math. 84 (1966), 293–344.
R. Hartshorne, Algebraic Geometry. Graduate Texts in Mathematics 52, Springer-Verlag, New York, 1977.
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© 2001 Springer Science+Business Media New York
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Bădescu, L. (2001). Cohomological Intersection Theory and the Nakai—Moishezon Criterion of Ampleness. In: Algebraic Surfaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3512-3_1
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DOI: https://doi.org/10.1007/978-1-4757-3512-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3149-8
Online ISBN: 978-1-4757-3512-3
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