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Erratum: Linear Projections and Successive Minima

Published online by Cambridge University Press:  11 January 2016

Christophe Soulé
Christophe Soulé*
Affiliation:
Centre National de la Recherche Scientifique and Institut des Hautes Études Scientifiques, 91440 Bures-sur-Yvette, [email protected]
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The proof of Proposition 1 and Theorem 2 in [3] is incorrect. Indeed, Sections 2.5 and 2.7 in [3] contain a vicious circle: the definition of the filtration Vi, 1 ≤ i ≤ n, in Section 2.5 of that article depends on the choice of the integers ni, when the definition of the integers ni in Section 2.7 depends on the choice of the filtration (Vi). Thus, only Theorem 1 and Corollary 1 in [3] are proved. In the following we will prove another result instead of [3, Proposition 1].

Keywords

14G4014H9911H06
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 216 , 2014 , pp. 111 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

References

[1] Morrison, I., Projective stability of ruled surfaces, Invent. Math. 56 (1980), 269–304. MR 0561975. DOI 10.1007/BF01390049.Google Scholar
[2] Soulé, C., Successive minima on arithmetic varieties, Compos. Math. 96 (1995), 85–98. MR 1323726.Google Scholar
[3] Soulé, C., Linear projections and successive minima, Nagoya Math. J. 197 (2010), 45–57. MR 2649279.Google Scholar