में बचाया:
| मुख्य लेखक: | |
|---|---|
| स्वरूप: | Preprint |
| प्रकाशित: |
2022
|
| विषय: | |
| ऑनलाइन पहुंच: | https://arxiv.org/abs/2205.00607 |
| टैग: |
टैग जोड़ें
कोई टैग नहीं, इस रिकॉर्ड को टैग करने वाले पहले व्यक्ति बनें!
|
विषय - सूची:
- Let $X$ be a complex projective variety. Suppose that the group of birational automorphisms of $X$ contains finite subgroups isomorphic to $(\mathbb{Z}/N\mathbb{Z})^r$ for $r$ fixed and $N$ arbitrarily large. We show that $r$ does not exceed $2\dim(X)$. Moreover, the equality holds if and only if $X$ is birational to an abelian variety. We also show that an analogous result holds for groups of bimeromorphic automorphisms of compact Kähler spaces, under some additional assumptions.