Corrigendum: A construction of the Deligne¿Mumford orbifold (J. Eur. Math. Soc. 8, 611¿699 (2006))

• Autores: Joel W. Robbin, Dietmar Salamon
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 4, 2007, págs. 901-906
• Idioma: inglés
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• Resumen

  • 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 a=0. When the genus is 0 or 1 and in addition a?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 a=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].