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On the Local Unipotent Fundamental Group Scheme

Published online by Cambridge University Press:  20 November 2018

Sinan Ünver*
Affiliation:
Department of Mathematics, Koc University, Istanbul, Turkey e-mail: sunver@ku.edu.tr
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Abstract

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We prove a local, unipotent, analog of Kedlaya's theorem for the pro-$p$ part of the fundamental group of integral affine schemes in characteristic $p$.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2010

References

[1] Demazure, M. and Grothendieck, A., eds., Schémas en groupes. II. (SGA 3) Lecture Notes in Mathematics 152. Springer-Verlag, Berlin, 1962–1964.Google Scholar
[2] Giraud, J., Cohomologie non-abélienne. Die Grundlehren der mathematischenWissenschaften 179. Springer-Verlag, Berlin, 1971.Google Scholar
[3] Kedlaya, K., On the geometry of p-typical covers in characteristic p. Canad. J. Math. 60(2008), no. 1, 140163. doi:10.4153/CJM-2008-006-8Google Scholar
[4] Mehta, V. B. and Subramanian, S., On the fundamental group scheme. Invent. Math 148(2002), no. 1, 143150. doi:10.1007/s002220100191Google Scholar
[5] Nori, M., The fundamental group-scheme. Proc. Indian Acad. Sci. Math. 91(1982), no. 2, 73122. doi:10.1007/BF02967978Google Scholar