Geodesic
On the birational automorphisms of varieties of general type
Christopher D. Hacon1 ; James M$^{\textbf{c}}$Kernan2 ; Chenyang Xu3
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.
Annals of mathematics, Tome 177 (2013) no. 3, pp. 1077-1111.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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. 
@article{10_4007_annals_2013_177_3_6,
     author = {Christopher D. Hacon and James M$^{\textbf{c}}$Kernan and Chenyang Xu},
     title = {On the birational automorphisms of varieties of general type},
     journal = {Annals of mathematics},
     pages = {1077--1111},
     publisher = {mathdoc},
     volume = {177},
     number = {3},
     year = {2013},
     doi = {10.4007/annals.2013.177.3.6},
     mrnumber = {3034294},
     zbl = {06176988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.3.6/}
}
TY  - JOUR
AU  - Christopher D. Hacon
AU  - James M$^{\textbf{c}}$Kernan
AU  - Chenyang Xu
TI  - On the birational automorphisms of varieties of general type
JO  - Annals of mathematics
PY  - 2013
SP  - 1077
EP  - 1111
VL  - 177
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.3.6/
DO  - 10.4007/annals.2013.177.3.6
LA  - en
ID  - 10_4007_annals_2013_177_3_6
ER  - 
%0 Journal Article
%A Christopher D. Hacon
%A James M$^{\textbf{c}}$Kernan
%A Chenyang Xu
%T On the birational automorphisms of varieties of general type
%J Annals of mathematics
%D 2013
%P 1077-1111
%V 177
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.3.6/
%R 10.4007/annals.2013.177.3.6
%G en
%F 10_4007_annals_2013_177_3_6
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/

Cité par Sources :