Asymptotic base loci via Okounkov bodies

@article{Choi2015AsymptoticBL,
  title={Asymptotic base loci via Okounkov bodies},
  author={Sung Rak Choi and Yoonsuk Hyun and Jinhyung Park and Joonyeong Won},
  journal={arXiv: Algebraic Geometry},
  year={2015}
}
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We first prove some basic properties of Okounkov bodies, and give a characterization of Nakayama and positive volume subvarieties of a pseudoeffective divisor in terms of Okounkov bodies. Next, we
Infinitesimal Newton-Okounkov bodies and jet separation
In this paper we explore the connection between asymptotic base loci and Newton-Okounkov bodies associated to infinitesimal flags. Analogously to the surface case, we obtain complete
Okounkov bodies and Zariski decompositions on surfaces
The purpose of this paper is to investigate the close relation between Okounkov bodies and Zariski decompositions of pseudoeffective divisors on smooth projective surfaces. Firstly, we completely
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