Non-commutative varieties with curvature having bounded signature (Q351750)
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scientific article; zbMATH DE number 6185658
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-commutative varieties with curvature having bounded signature |
scientific article; zbMATH DE number 6185658 |
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Non-commutative varieties with curvature having bounded signature (English)
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10 July 2013
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One of the aims of this paper is to introduce a notion of signature of the curvature of the zero set \(V(p)\) of a non-commutative polynomial \(p\) and to prove a lower bound in terms of the degree of the polynomial. It follows that, if the non-commutative variety \(V(p)\) has positive curvature, then the degree of \(p\) is at most two. A new version of a non-commutative analogue of the Hessian of \(p\) is also discussed.
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noncommutative varieties
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noncommutative polynomials
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