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This paper investigates the surjectivity of maps involving local cohomology modules, extending the classical Peskine-Szpiro theorem to a broader class of singularities known as cohomologically Mittag-Leffler (cML) rings. The authors introduce cML rings and demonstrate their relevance to sheaf cohomology vanishing for thickenings of Cohen-Macaulay closed subschemes in positive characteristic. Key results include the relationship between cohomological dimension and ideal height, as well as applications to the

Author

cart32.jaj

Language

EN