The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic (Q1821821)
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scientific article; zbMATH DE number 4000072
| Language | Label | Description | Also known as |
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| English | The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic |
scientific article; zbMATH DE number 4000072 |
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The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic (English)
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1987
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Let A be the coordinate ring of a nonsingular affine variety over an algebraically closed field of characteristic \(p>0.\) It is proved that \(gl.\dim (D(A))=\dim (A)\) where D(A) is the ring of differential operators on A. In characteristic zero the result was known [cf. \textit{S. U. Chase}, Commun. Algebra 1, 351-363 (1974; Zbl 0315.13011)].
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global homological dimension
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coordinate ring
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ring of differential operators
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