Birationally Rigid Finite Covers of the Projective Space
- Авторлар: Pukhlikov A.1
-
Мекемелер:
- Department of Mathematical Sciences
- Шығарылым: Том 307, № 1 (2019)
- Беттер: 232-244
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175953
- DOI: https://doi.org/10.1134/S0081543819060142
- ID: 175953
Дәйексөз келтіру
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.
Авторлар туралы
A. Pukhlikov
Department of Mathematical Sciences
Хат алмасуға жауапты Автор.
Email: pukh@liverpool.ac.uk
Ұлыбритания, Liverpool, L69 7ZL