拟有效除数的奥库恩科夫体 II
代数几何
2017-04-25 v2
摘要
我们首先证明了奥库恩科夫体的一些基本性质，并用奥库恩科夫体刻画了拟有效除数的中山子簇和正体积子簇。接着，我们证明了拟有效除数的每个赋值奥库恩科夫体和极限奥库恩科夫体（若该除数承认双有理良好Zariski分解）关于某个允许旗都是有理多面体。这推广了Anderson-Küronya-Lozovanu关于大除数且其截面环有限生成时奥库恩科夫体有理多面体性的结果。
引用
@article{arxiv.1608.00221,
title = {Okounkov bodies associated to pseudoeffective divisors II},
author = {Sung Rak Choi and Jinhyung Park and Joonyeong Won},
journal= {arXiv preprint arXiv:1608.00221},
year = {2017}
}
备注
14 pages, deleted previous Section 5 and fixed several gaps in the previous version. to appear in Taiwanese J. Math. (special issue for the proceedings of the conference Algebraic Geometry in East Asia 2016)