On local invariants of totally real surfaces (Q2726700)

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scientific article; zbMATH DE number 1621372
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English
On local invariants of totally real surfaces
scientific article; zbMATH DE number 1621372

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    19 December 2001
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    totally real surface
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    linking number
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    self-intersection index
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    local algebra
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    signature technique
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    Petrovsky numbers
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    On local invariants of totally real surfaces (English)
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    A class of totally real surface singularities is introduced for which one can define local topological invariants. The main result yields an algebraic estimate for the self-intersection index of a totally real germ. It is derived from an algebraic upper estimate for the index of a quasi-homogeneous vector field which generalizes the previously known estimates in terms of the so-called Petrovsky numbers.
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