Dominant rational maps in the category of log schemes

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概要

• 論文の詳細を見る

• Kobayashi-Ochiai's theorem states that the set of dominant rational maps from a complex variety to a complex variety of general type is finite. Kazuya Kato conjectured a similar result in the category of log schemes. Our main theorem of this paper is a solution to his conjecture.

• 東北大学の論文

著者

• Moriwaki Atsushi

  Department Of Mathematics Faculty Of Science Kyoto University

• Iwanari Isamu

  Department of Mathematics, Faculty of Science, Kyoto University

• Iwanari Isamu

  Department Of Mathematics Faculty Of Science Kyoto University

関連論文

• Rigidity of Log Morphisms: Dedicated to Professor Hironaka on his 77th birthday
• Dominant rational maps in the category of log schemes
• Logarithmic Geometry, Minimal Free Resolutions and Toric Algebraic Stacks
• Zariski Decompositions on Arithmetic Surfaces

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