Abstract
As in the theory of Riemann surfaces, divisors play a decisive role in global analysis of complex manifolds of higher dimensions. Here the situation is completely different: There are many divisors and meromorphic functions on a Riemann surface, however, there may be no global meromorphic functions and divisors on an arbitrary complex manifold X of complex dimension greater than 1. The exceptional roles are played in this context by projective algebraic varieties X in the complex projective space i: X → ℙn.
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© 1997 Springer Science+Business Media Dordrecht
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Maurin, K. (1997). Divisors and Line Bundles. Algebraic and Abelian Varieties. In: The Riemann Legacy. Mathematics and Its Applications, vol 417. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8939-0_33
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DOI: https://doi.org/10.1007/978-94-015-8939-0_33
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4876-9
Online ISBN: 978-94-015-8939-0
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