Corrigendum: A construction of the Deligne–Mumford orbifold (J. Eur. Math. Soc. 8, 611–699 (2006))
Journal of the European Mathematical Society, Tome 9 (2007) no. 4, pp. 901-905.

Voir la notice de l'article provenant de la source EMS Press

We correct an error in [3, Lemma 8.2]. As stated, the lemma only holds for surfaces of genus greater than 1 or in the case α=0. When the genus is 0 or 1 and in addition α=0, equation (2) in [3] (in the present corrigendum this is equation (2)) is only a necessary condition for the integrability of J but is not sufficient. In [3] Lemma 8.2 is only used twice. On page 637 it is used in the trivial case α=0. On page 642 only the “only if” direction is used and the proof of that direction is correct in [3]. In this note we prove a corrected version of [3, Lemma 8.2].
DOI : 10.4171/jems/101
Classification : 57-XX, 00-XX
@article{JEMS_2007_9_4_a10,
     author = {Joel W. Robbin and Dietmar A. Salamon},
     title = {Corrigendum: {A} construction of the {Deligne{\textendash}Mumford} orbifold {(J.} {Eur.} {Math.} {Soc.} 8, 611{\textendash}699 (2006))},
     journal = {Journal of the European Mathematical Society},
     pages = {901--905},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2007},
     doi = {10.4171/jems/101},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/101/}
}
TY  - JOUR
AU  - Joel W. Robbin
AU  - Dietmar A. Salamon
TI  - Corrigendum: A construction of the Deligne–Mumford orbifold (J. Eur. Math. Soc. 8, 611–699 (2006))
JO  - Journal of the European Mathematical Society
PY  - 2007
SP  - 901
EP  - 905
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/101/
DO  - 10.4171/jems/101
ID  - JEMS_2007_9_4_a10
ER  - 
%0 Journal Article
%A Joel W. Robbin
%A Dietmar A. Salamon
%T Corrigendum: A construction of the Deligne–Mumford orbifold (J. Eur. Math. Soc. 8, 611–699 (2006))
%J Journal of the European Mathematical Society
%D 2007
%P 901-905
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/101/
%R 10.4171/jems/101
%F JEMS_2007_9_4_a10
Joel W. Robbin; Dietmar A. Salamon. Corrigendum: A construction of the Deligne–Mumford orbifold (J. Eur. Math. Soc. 8, 611–699 (2006)). Journal of the European Mathematical Society, Tome 9 (2007) no. 4, pp. 901-905. doi : 10.4171/jems/101. http://geodesic.mathdoc.fr/articles/10.4171/jems/101/

Cité par Sources :