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arXiv · 1703.06828

Newton-Okounkov bodies on projective bundles over curves

Pedro Montero
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Abstract

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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Pedro Montero. 2017-03-20. Newton-Okounkov bodies on projective bundles over curves. https://arxiv.org/abs/1703.06828

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