Abstract
Let (α, H) be A.-H. data for a complex torus V/L. Our objective is
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Theorem 2.1
The space Γ(V/L, ℒ(α, H)) of holomorphic sections of ℒ(α, H) is non-zero if and only if both
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a)
H is positive semi-definite and
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b)
α is identically one on L ∩ KerH.
-
a)
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© 1991 Springer-Verlag Berlin Heidelberg
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Kempf, G.R. (1991). The Existence of Sections of Sheaves. In: Complex Abelian Varieties and Theta Functions. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76079-2_2
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DOI: https://doi.org/10.1007/978-3-642-76079-2_2
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