Uniqueness theorems and uniqueness polynomials for \(p\)-adic holomorphic curves (Q1002462)
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scientific article; zbMATH DE number 5519496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness theorems and uniqueness polynomials for \(p\)-adic holomorphic curves |
scientific article; zbMATH DE number 5519496 |
Statements
Uniqueness theorems and uniqueness polynomials for \(p\)-adic holomorphic curves (English)
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26 February 2009
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The authors construct a sequence \(P_l(z_1,\dots ,z_l,z_{l+1})\) of homogeneous polynomials over \(\mathbb C_p\), which are strong uniqueness polynomials for algebraically nondegenerate \(p\)-adic holomorphic curves. For such curves, the hypersurface defined by the polynomial \(P_l\) is a unique range set.
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holomorphic curve
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strong uniqueness polynomial
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unique range set
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