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A logarithmic view towards semistable reduction
Author(s):
Jakob
Stix
Journal:
J. Algebraic Geom.
14
(2005),
119-136.
Posted:
June 24, 2004
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Abstract |
References |
Additional information
Abstract:
A smooth, proper family of curves creates a monodromy action of the fundamental group of the base on the  of a fibre. The geometric condition of T. Saito for the action of the wild inertia of a boundary point to be trivial is transformed to the condition of logarithmic smooth reduction. The proof emphasizes methods and results from logarithmic geometry. It applies to quasi-projective smooth curves with étale boundary divisor.
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Additional Information:
Jakob
Stix
Affiliation:
Mathematisches Institut, Universität Bonn, Beringstraße 1, 53115 Bonn, Germany
Email:
stix@math.uni-bonn.de
PII:
S 1056-3911(04)00388-1
Received by editor(s):
May 13, 2003
Received by editor(s) in revised form:
February 10, 2004
Posted:
June 24, 2004
Additional Notes:
The author acknowledges the financial support provided through the European Community's Human Potential Program under contract HPRN-CT-2000-00114, GTEM
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