English

On Newton-Okounkov bodies of Graded Linear Series

Algebraic Geometry 2018-01-16 v1 Commutative Algebra

Abstract

We generalize the theory of Newton-Okounkov bodies of big divisors to the case of graded linear series. One of the results is the generalization of slice formulas and the existence of generic Newton-Okounkov bodies for birational graded linear series. We also give a characterization of graded linear series which have full volume in terms of their base locus.

Keywords

Cite

@article{arxiv.1801.04611,
  title  = {On Newton-Okounkov bodies of Graded Linear Series},
  author = {Georg Merz},
  journal= {arXiv preprint arXiv:1801.04611},
  year   = {2018}
}