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Local Cohomological Dimension of Algebraic Varieties

The Annals of Mathematics, 1973
If X is a smooth scheme of characteristic zero and Yc X is a closed subset, we find topological conditions on the singularities of Y which determine the best possible vanishing theorem for the sheaves of local cohomology Hf(F) for all i > r and all quasicoherent F.
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VARIETIES IN REPRESENTATIONS OF FINITE GROUPS. LOCALLY STABLE VARIETIES. MATRIX GROUPS AND VARIETIES OF REPRESENTATIONS

Russian Mathematical Surveys, 1979
ContentsIntroductionChapter 1. Stability § 1. Identities of stable varieties § 2. Locally stable and unipotent varieties § 3. The algebra of stable varieties § 4. Classification questions for stable varieties § 5. Magnus varieties of representationsChapter 2. Locally finite and locally bounded varieties § 1. Locally bounded varieties § 2.
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ON SOME EXISTENCE VARIETIES OF LOCALLY INVERSE SEMIGROUPS

International Journal of Algebra and Computation, 1996
A semigroup \(S\) is locally inverse if (in the context of this paper) it is regular and for each idempotent \(e\), \(eSe\) is inverse. The class \(\mathcal {LI}\) is all such semigroups forms an e(xistence)-variety: a class of regular semigroups closed under direct products, quotients and regular subsemigroups. \textit{Y. T. Yeh} [Int. J.
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On Locally Finite Varieties of Groups

Proceedings of the London Mathematical Society, 1972
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