A rank theorem for analytic maps between power series spaces (Q1805182)
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scientific article; zbMATH DE number 753834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A rank theorem for analytic maps between power series spaces |
scientific article; zbMATH DE number 753834 |
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A rank theorem for analytic maps between power series spaces (English)
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13 February 1996
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The main result is a rank theorem for analytic mappings (induced by substitution) between spaces of convergent power series. This is used to show that certain isotropy groups are Lie subgroups of infinite- dimensional Lie groups. A spectacular consequence of this result is that reduced hypersurface germs of dimension \(\geq 2\) are determined up to isomorphism by their Lie group of embedded automorphisms.
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rank theorem
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analytic mappings
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0.8980062
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0.89638054
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0.8777156
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0.87563175
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0.8736682
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