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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, France soule@ihes.fr
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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

Information

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