Bonsoir à tous,
- J'ai besoin qu'on m'indique un cours qui porte sur le sujet suivant ( même en anglais ) :
Ifis any morphism, with
smooth and one-dimensional, then
is flat over
as long as no component of
( either irreducible or embedded ) is supported on the fiber
Suppose thatis an arbitrary morphism from a variety
to a
-dimensional smooth variety
, and
is a point. We define the limit
of the family
to be the fiber over
in the closure
. In these terms, the statement above says that a morphism
to any smooth, one-dimensional target
is flat if and only if every fiber
is equal to the limit
- Pouvez vous m'expliquer ce qu'on entend formellement par ce passage :
Ifis any morphism, with
smooth and one-dimensional, then
is flat over
as long as no component of
( either irreducible or embedded ) is supported on the fiber
Merci d'avance
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