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Semi-continuity of conductors, and ramification bound of nearby cycles

Semi-continuity of conductors, and ramification bound of nearby cycles

Abstract For a constructible étale sheaf on a smooth variety of positive characteristic ramified along an effective divisor, the largest slope in Abbes and Saito’s ramification theory of the sheaf gives a divisor with rational coefficients called the conductor divisor . In this article, we prove decreasing properties of the …