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Fibrations with moving cuspidal singularities

Published online by Cambridge University Press:  22 January 2016

Yoshifumi Takeda
Yoshifumi Takeda*
Affiliation:
Department of Mathematics, Nara Women’s University, Kita-Uoya Nishimachi, Nara 630, Japan
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Let f: V → C be a fibration from a smooth projective surface onto a smooth projective curve over an algebraically closed field k. In the case of characteristic zero, almost all fibres of f are nonsingular. In the case of positive characteristic, it is, however, known that there exist fibrations whose general fibres have singularities. Moreover, it seems that such fibrations often have pathological phenomena of algebraic geometry in positive characteristic (see M. Raynaud [7], W. Lang [4]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 122 , June 1991 , pp. 161 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1991

References

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