Abstract
In this chapter, we give some striking generalizations of the Kodaira Vanishing Theorem with an arithmetical flavor due to Ramanujam [1],[2], Kawamata [2], and Viehweg [1]. We also give some additional characterizations of ampleness and state some vanishing theorems of Mumford [1] and Grauert-Riemenschneider [1] on singular spaces. We begin with the following generalization of Corollary (2.22) due to Ramanujam [1, Theorem 3].
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© 1985 Springer Science+Business Media New York
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Shiffman, B., Sommese, A.J. (1985). Generalizations of the Kodaira Vanishing Theorem. In: Vanishing Theorems on Complex Manifolds. Progress in Mathematics, vol 56. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6680-3_7
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DOI: https://doi.org/10.1007/978-1-4899-6680-3_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4899-6682-7
Online ISBN: 978-1-4899-6680-3
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