# On volumes of arithmetic line bundles

@article{Yuan2009OnVO, title={On volumes of arithmetic line bundles}, author={Xinyi Yuan}, journal={Compositio Mathematica}, year={2009}, volume={145}, pages={1447 - 1464} }

Abstract We show an arithmetic generalization of the recent work of Lazarsfeld–Mustaţǎ which uses Okounkov bodies to study linear series of line bundles. As applications, we derive a log-concavity inequality on volumes of arithmetic line bundles and an arithmetic Fujita approximation theorem for big line bundles.

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