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What is Unramified Morphisms in Algebraic Geometry about?

This document discusses ramification in algebraic geometry. It defines what it means for a morphism between schemes to be unramified or separable. It then proves that for a generically separable morphism between smooth varieties, the relative cotangent sequence is exact. It introduces the ramification divisor and branch divisor for a morphism between curves. It derives an expression for differentials on a discrete valuation ring that describes the local behavior of ramification.

Author

Helena Perović

Language

EN