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This contradicts the minimality of c .
1
(1.9) Now let P be
-
a smooth point of the image q(P ) (= C)
1. 8 and let : o P
1
E a map with a point o in P .
Then, ir is known that
1
Hom(P , ; 1 is a cl~sed subscheme in
~orn(P' S ) by Proposition 1 in ['lo].
Hence, letting Hp = (b- E H I v( o ) = P), we must remark that Hp =
H n Hom i ~ l X;L) , as a set.
Sow we has-e
1
(19.1 Remark. 1) Let v be an element in H xith \-(P R?-.
*
Then, v T is GS and hence B is sinooth at [v] because of the
4
1 1 *
fact H (E' ,v TI S
0 1(-1)) = 0 by Proposition 1.7.
P
Hence if P is not ic R-I01 ) Ler f be a non-sln2ular
projective
1
variety, V a variety and g: P 1 C - Y a morphism
satisfyin2 the fol101,-ing properties:
1) for each point u i n U, g(pl,u) (= C is a cur\-e in 3 and for
11
.LA