Newton-Okounkov bodies on projective bundles over curves

Pedro Montero

Newton-Okounkov bodies on projective bundles over curves

Algebraic Geometry 2018-10-16 v3

Authors: Pedro Montero

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.

Keywords

Newton-Okounkov bodies projective vector bundles curves volume function linear flags semi-stable vector bundles

Cite

@article{arxiv.1703.06828,
  title  = {Newton-Okounkov bodies on projective bundles over curves},
  author = {Pedro Montero},
  journal= {arXiv preprint arXiv:1703.06828},
  year   = {2018}
}

Comments

28 pages. Final version: to appear in Mathematische Zeitschrift

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