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Mathematische Zeitschrift

, Volume 291, Issue 3–4, pp 1357–1379 | Cite as

Newton–Okounkov bodies on projective bundles over curves

  • Pedro MonteroEmail author
Article
  • 28 Downloads

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.

Mathematics Subject Classification

14C20 14H60 14M99 

Notes

Acknowledgements

I would like to express my gratitude to my thesis supervisors, Stéphane Druel and Catriona Maclean, for their advice, helpful discussions and encouragement throughout the preparation of this article. I also thank Bruno Laurent, Laurent Manivel and Bonala Narasimha Chary for fruitful discussions. Finally, I would like to thank the anonymous referee for a very helpful and detailed report.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institut FourierUniv. Grenoble AlpesGrenobleFrance

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