math0011097.11 (Q3730)

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Language	Label	Description	Also known as
English	math0011097.11	No description defined

Statements

defining formula

\operatorname {es} (C)=\tau (C)+\sum _{i=1}^{s}(b_{i}+1)+\sum _{i\in T}\left(l(i)-m(i)\right)-\sum _{P\in \operatorname {IN} (C)}{\tfrac {1}{2}}(m_{P}^{2}+m_{p}-4)

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in defining formula

C

symbol represents

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i

symbol represents (string)

Index variable

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p

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N

symbol represents (string)

Number of exceptional curves

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m

symbol represents

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P\in \operatorname {IN} (C)

symbol represents

Infinitely near point

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m(i)

symbol represents

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\tau (C)

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Tjurina number

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l(i)

symbol represents (string)

conductor number

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m_{p}

symbol represents (string)

multiplicity of an infinitely near point

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i\in T

symbol represents (string)

Index of a branch in a curve singularity

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m_{P}

symbol represents

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\operatorname {IN} (C)

symbol represents (string)

infinitely near points

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l

symbol represents (string)

conductor number on branch C_i

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s

symbol represents (string)

exceptional curves

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b_{i}

symbol represents (string)

Self-Intersection Numbers

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T

symbol represents (string)

Smooth Curve Germ

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\operatorname {es} (C)

symbol represents (string)

Equisingularity Index of C

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Sitelinks

mathematics(0 entries)

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