Birationally Rigid Finite Covers of the Projective Space
- Авторы: Pukhlikov A.1
-
Учреждения:
- Department of Mathematical Sciences
- Выпуск: Том 307, № 1 (2019)
- Страницы: 232-244
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175953
- DOI: https://doi.org/10.1134/S0081543819060142
- ID: 175953
Цитировать
Аннотация
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.
Об авторах
A. Pukhlikov
Department of Mathematical Sciences
Автор, ответственный за переписку.
Email: pukh@liverpool.ac.uk
Великобритания, Liverpool, L69 7ZL