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(Q3731)
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math0011097.12
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Statements
defining formula
dim
C
(
I
e
v
/
(
f
,
Θ
Σ
(
g
)
)
=
∑
i
∈
T
(
l
(
i
)
−
m
(
i
)
)
{\displaystyle \dim _{\mathbb {C} \,}\left(I^{ev}/(f,\Theta _{\Sigma }(g)\right)=\sum _{i\in T}\left(l(i)-m(i)\right)}
0 references
in defining formula
C
{\displaystyle C}
symbol represents
curve
0 references
i
{\displaystyle i}
symbol represents (string)
Index variable
0 references
m
{\displaystyle m}
symbol represents
multiplicity
0 references
m
(
i
)
{\displaystyle m(i)}
symbol represents
multiplicity
0 references
l
(
i
)
{\displaystyle l(i)}
symbol represents (string)
conductor number
0 references
i
∈
T
{\displaystyle i\in T}
symbol represents (string)
Index of a branch in a curve singularity
0 references
l
{\displaystyle l}
symbol represents (string)
conductor number on branch C_i
0 references
Σ
{\displaystyle \Sigma }
symbol represents
conductor
0 references
Θ
Σ
{\displaystyle \Theta _{\Sigma }}
symbol represents (string)
Module of Derivations
0 references
Θ
Σ
(
g
)
{\displaystyle \Theta _{\Sigma }(g)}
symbol represents (string)
Derivations of the conductor I
0 references
T
{\displaystyle T}
symbol represents (string)
Smooth Curve Germ
0 references
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