English

On the birational automorphisms of varieties of general type

Algebraic Geometry 2012-09-07 v2

Abstract

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

Keywords

Cite

@article{arxiv.1011.1464,
  title  = {On the birational automorphisms of varieties of general type},
  author = {Christopher Hacon and James McKernan and Chenyang Xu},
  journal= {arXiv preprint arXiv:1011.1464},
  year   = {2012}
}