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
Cet article a éte moissonné depuis 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].
@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},
year = {2007},
volume = {9},
number = {4},
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 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 %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
Cité par Sources :