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(Q3729)
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math0011097.10
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Statements
defining formula
dim
(
A
)
=
τ
(
C
)
−
∑
P
∈
IN
(
C
)
1
2
(
m
P
2
+
m
p
−
4
)
{\displaystyle \dim(A)=\tau (C)-\sum _{P\in \operatorname {IN} (C)}{\tfrac {1}{2}}(m_{P}^{2}+m_{p}-4)}
0 references
in defining formula
C
{\displaystyle C}
symbol represents
curve
0 references
p
{\displaystyle p}
symbol represents
multiplicity
0 references
N
{\displaystyle N}
symbol represents (string)
Number of exceptional curves
0 references
m
{\displaystyle m}
symbol represents
multiplicity
0 references
P
∈
IN
(
C
)
{\displaystyle P\in \operatorname {IN} (C)}
symbol represents
Infinitely near point
0 references
τ
(
C
)
{\displaystyle \tau (C)}
symbol represents (string)
Tjurina number
0 references
m
p
{\displaystyle m_{p}}
symbol represents (string)
multiplicity of an infinitely near point
0 references
m
P
{\displaystyle m_{P}}
symbol represents
multiplicity
0 references
IN
(
C
)
{\displaystyle \operatorname {IN} (C)}
symbol represents (string)
infinitely near points
0 references
dim
(
A
)
{\displaystyle \dim(A)}
symbol represents
Euler characteristic
0 references
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⧼wikibase-sitelinks-mathematics⧽
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