The classification of polarities in reducible projective spaces (Q1113450)
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scientific article; zbMATH DE number 4082387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of polarities in reducible projective spaces |
scientific article; zbMATH DE number 4082387 |
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The classification of polarities in reducible projective spaces (English)
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1988
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A reducible projective space \(P\) of finite dimension is the direct sum of irreducible projective spaces \(P^ 1,...,P^ m\) [see \textit{B. Segre}, Lectures on modern geometry (1961; Zbl 0095.148)]. The authors construct polarities of \(P\) by combining polarities of the partial spaces \(P^ i\) and correlations of isomorphic partial spaces \(P^ i\), \(P^{i+1}\) (if existing). Then they show there are no other polarities of \(P\).
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reducible projective space
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polarities
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