Universal log structures on semi-stable varieties

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概要

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• Given a morphism of schemes which is flat, proper, and "fiber-by-fiber semi-stable", we study the problem of extending the morphism to a morphism of fine log schemes, which is log smooth, integral, and vertical. The problem is rephrased in terms of a functor on the category of fine log schemes over the base, and the main result of the paper is that this functor is representable by a fine log scheme whose underlying scheme maps naturally to the base by a monomorphism of finite type. In the course of the proof, we also generalize results of Kato on the existence of log structures of embedding and semi-stable type.

• 東北大学の論文

著者

• Olsson Martin

  Department Of Mathematics Massachusettsinstitute Of Technology

関連論文

• Universal log structures on semi-stable varieties

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