On the birational automorphisms of varieties of general type

• Main Authors: Hacon, Christopher D. (Author), McKernan, James (Contributor), Xu, Chenyang (Author)
• Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: Princeton University Press, 2013-09-09T13:18:49Z.
• Subjects: Article
• Online Access: Get fulltext

Original manuscript September 6, 2012
We show that the number of birational automorphisms of a variety of general type X is bounded by c ⋅ vol(X, K[subscript X]), where c is a constant that only depends on the dimension of X.
National Science Foundation (U.S.) (Research Grant 0701101)