Torsion differentials and deformation
Author:
D. S. Rim
Journal:
Trans. Amer. Math. Soc. 169 (1972), 257-278
MSC:
Primary 14B10; Secondary 14D15, 14M10
DOI:
https://doi.org/10.1090/S0002-9947-1972-0342513-4
MathSciNet review:
0342513
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Abstract | References | Similar Articles | Additional Information
Abstract: Let -scheme
be a Schlessinger deformation of a curve
defined over a field
. In §§1 and 2, the dimension of the parameter space
, the relative differentials of
over
, and the fibres with singularity were studied, in case when
is locally complete-intersection. In §3 we show that if
-scheme
is a specialization of a smooth
-scheme, then the punctured spectrum
has to be connected for every point
such that
. In turn we construct a rigid singularity on a surface. In the last section a few conjectures amplifying those of P. Deligne are made.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1972-0342513-4
Article copyright:
© Copyright 1972
American Mathematical Society