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September 2012 Essentially Large Divisors and their Arithmetic and Function-theoretic Inequalities
Gordon Heier, Min Ru
Asian J. Math. 16(3): 387-408 (September 2012).

Abstract

Motivated by the classical Theorems of Picard and Siegel and their generalizations, we define the notion of an essentially large effective divisor and derive some of its arithmetic and function-theoretic consequences. We then investigate necessary and sufficient criteria for divisors to be essentially large. In essence, we prove that on a nonsingular irreducible projective variety $X$ with $\mathrm{Pic}(X) = \mathbb{Z}$, every effective divisor with $\operatorname{dim}X + 2$ or more components in general position is essentially large.

Citation

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Gordon Heier. Min Ru. "Essentially Large Divisors and their Arithmetic and Function-theoretic Inequalities." Asian J. Math. 16 (3) 387 - 408, September 2012.

Information

Published: September 2012
First available in Project Euclid: 23 November 2012

zbMATH: 1320.11058
MathSciNet: MR2989226

Subjects:
Primary: 11G35, 11G50, 14C20, 14G40, 32H30

Rights: Copyright © 2012 International Press of Boston

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Vol.16 • No. 3 • September 2012
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