Fix a smooth projective 3-fold
X
X
,
c
1
c_1
,
H
∈
P
i
c
(
X
)
H\in \mathrm {Pic}(X)
with
H
H
ample, and
d
∈
Z
d\in \mathbf {Z}
. Assume the existence of integers
a
,
b
a,b
with
a
≠
0
a\not =0
such that
a
c
1
ac_1
is numerically equivalent to
b
H
bH
. Let
M
(
X
,
2
,
c
1
,
d
,
H
)
M(X,2,c_1,d,H)
be the moduli scheme of
H
H
-stable rank 2 vector bundles,
E
E
, on
X
X
with
c
1
(
E
)
=
c
1
c_1(E)=c_1
and
c
2
(
E
)
⋅
H
=
d
c_2(E)\cdot H=d
. Let
m
(
X
,
2
,
c
1
,
d
,
H
)
m(X,2,c_1,d,H)
be the number of its irreducible components. Then
lim sup
d
→
∞
m
(
X
,
2
,
c
1
,
d
,
H
)
=
+
∞
\limsup _{d\rightarrow \infty }m(X,2,c_1,d,H)= +\infty
.