On the birational automorphisms of varieties of general type
Annals of mathematics, Tome 177 (2013) no. 3, pp. 1077-1111.

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We show that the number of birational automorphisms of a variety of general type $X$ is bounded by $c \cdot \mathrm{vol}(X,K_X)$, where $c$ is a constant that only depends on the dimension of $X$.
DOI : 10.4007/annals.2013.177.3.6

Christopher D. Hacon 1 ; James M$^{\textbf{c}}$Kernan 2 ; Chenyang Xu 3

1 Department of Mathematics, The University of Utah, 155 S 1400 E, Salt Lake City, UT 84112-0090
2 Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA 02139-4307
3 Beijing International Center of Mathematics Research, No. 5 Yiheyuan Road, Haidian District, Beijing 100871, China P.R.
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Christopher D. Hacon; James M$^{\textbf{c}}$Kernan; Chenyang Xu. On the birational automorphisms of varieties of general type. Annals of mathematics, Tome 177 (2013) no. 3, pp. 1077-1111. doi : 10.4007/annals.2013.177.3.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.3.6/

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