Birationally Rigid Finite Covers of the Projective Space
- 作者: Pukhlikov A.1
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隶属关系:
- Department of Mathematical Sciences
- 期: 卷 307, 编号 1 (2019)
- 页面: 232-244
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175953
- DOI: https://doi.org/10.1134/S0081543819060142
- ID: 175953
如何引用文章
详细
In this paper we prove birational superrigidity of finite covers of degree d of the M-dimensional projective space of index 1, where d ≥ 5 and M ≥ 10, that have at most quadratic singularities of rank ≥ 7 and satisfy certain regularity conditions. Up to now, only cyclic covers have been studied in this respect. The set of varieties that have worse singularities or do not satisfy the regularity conditions is of codimension ≥ (M − 4)(M − 5)/2 + 1 in the natural parameter space of the family.
作者简介
A. Pukhlikov
Department of Mathematical Sciences
编辑信件的主要联系方式.
Email: pukh@liverpool.ac.uk
英国, Liverpool, L69 7ZL