# Newton–Okounkov bodies on projective bundles over curves

@article{Montero2017NewtonOkounkovBO, title={Newton–Okounkov bodies on projective bundles over curves}, author={Pedro Montero}, journal={Mathematische Zeitschrift}, year={2017}, volume={291}, pages={1357-1379} }

In this article, we study Newton–Okounkov bodies on projective vector bundles over curves. Inspired by Wolfe’s estimates used to compute the volume function on these varieties, we compute all Newton–Okounkov bodies with respect to linear flags. Moreover, we characterize semi-stable vector bundles over curves via Newton–Okounkov bodies.

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