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Nombre de lectures | 8 |
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Extrait
COMPUT
A
TION
2
rst
s
OF
of
MILNOR
a
NUMBERS
^
AND
the
CRITICAL
b
V
C
ALUES
h
A
er
T
n
INFINITY
1]
ARNA
!
UD
,
BODIN
1
Abstra
the
(see
W
;
e
function
describ
e
main
ho
Theorem
w
g
to
(
trivial
top
a
ological
ology
ob
b
f
asso
of
1
to
a
1
of
plex
b
p
#
olynomial
2003.
map
is
of
T
n
1]
>
Milnor
2
g
v
for
ariables
with
Ti
isolated
and
singularities.
These
)
ob
s
olo
are:
ation
the
w
ane
f
study
v
not
alues,
b
the
f
ane
o
Milnor
h
n
um
B
b
B
ers
b
for
w
all
and
irregular
the
b
for
ers,
a
the
the
v
is
alues
m
at
;
innit
Date
y
singularities,
,
g
and
smo
the
s
Milnor
n
[0
um
e
b
lo
ers
um
at
0
innit
).
y
ological
for
is
all
Raman
irregular
t
b
([LR
ers.
.
Then
=
for
0
a
)
family
(
of
;
p
the
olynomials
s
w
[0
e
a
al
parameters
1.2.
where
aims
the
top
e
ology
olynomial
of
C
the
.
p
the
olynomials
f
the
hange.
of
Implemen
viour
tation
innit
and
[Br].
examples
p
are
e
giv
n
en
with
nite
the
v
,
algebra
B
system
[
Singular
the
.
w).
1.
of
Intr
is
oduction
ob
1.1.
giv
Review
ology
on
ers
the
lo
There
v
Let
lo
g
t
:
2)
C
n
n
;
b
0
multi-inte
!
(
C
a
;
B
0
B
b
June
e
isolated
a
germ
that
of
s
p
a
olyno-
oth
mial
of
map
.
with
o
isolated
h
singularities.
2
One
;
of
w
the
asso
most
the
imp
ortan
n
t
b
top
ological
(
ob
s
The
top
hed
result
to
families
g
L
is
e-
its
ujam-Timourian
lo
-constan
theorem.
al
1
Milnor
,
numb
℄
er
If
[Mi
6
℄
3
0
(
=
s
dim
is
C
onstant
C
s
f
[0
x
1]
1
then
;
family
:
g
:
)
:
2
;
;
x
is
n
top
g
=
ly
family.
(
Motiv
g
and
)
for
where
global
No
(
w
g
)
p
=
function
(
:
n
g
C
The
x
of
1
top
;
of
:
is
:
just
:
glueing
;
lo
studies
g
ecause
the
x
eha
n
of
)
at
is
y
the
see
T
ideal
the
of
olynomial
g
w
.
It
\Milnor
is
um
p
ers"
ossible
,
to
and
sets
0
alues
with
a
the
B
help
,
of
=
a
a
Gr
B
obner
(see
base.
denitions
F
elo
or
The
example
aim
this
h
ork
a
to
these
motiv
ates
to
the
e
top
algebra
of
system
b
Singular
f
,
(
℄
)
No
all
w
2
w
.
e
is
global
a
ersion
family
the
(
g
-constan
s
theorem
)
Theorem
s
where
2
Milnor
[0
um
;
er
1]
0
,
replaced
with
y
g
Milnor
s
ger
:
=
C
;
n
B
;
;
0
#
!
1
C
#
;
).
0
:
germs
25,
of
1