On the birational automorphisms of varieties of general type

• 成果类型: Article
• 署名作者: Hacon, Christopher D.; McKernan, James; Xu, Chenyang
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.177.3.6
• 发表日期: 2013
• 页码: 1077-1111
• 关键词: pluricanonical systems; algebraic-varieties; SURFACES; bounds

摘要

We show that the number of birational automorphisms of a variety of general type X is bounded by c . vol(X,Kx), where c is a constant that only depends on the dimension of X.