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Differential Modules on p-Adic Polyannuli—Erratum

Published online by Cambridge University Press:  10 February 2010

Kiran S. Kedlaya  and
Liang Xiao
Kiran S. Kedlaya
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA ([email protected]; [email protected])
Liang Xiao
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA ([email protected]; [email protected])
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The statement of Theorem 2.7.6 in the indicated paper is incorrect. For instance, if m = 0 (i.e., the base field K contains no additional derivations), it is inconsistent with Theorem 2.7.4 due to the distinction between intrinsic and extrinsic generic radii of convergence. Theorems 2.7.12 and 2.7.13 are incorrect for similar reasons.

Type
Erratum
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 3 , July 2010 , pp. 669 - 671
Copyright
Copyright © Cambridge University Press 2010

References

1.Kedlaya, K. S., p-Adic Differential Equations (Cambridge University Press, in press; draft available at http://math.mit.edu/~kedlaya/papers/).Google Scholar
2.Kedlaya, K. S. and Xiao, L., Differential modules on p-adic polyannuli, J. Inst. Math. Jussieu, doi:10.1017/S1474748009000085, published online by Cambridge University Press, 19 May 2009.Google Scholar