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.
|Number of pages||45|
|Journal||Tohoku Mathematical Journal|
|Publication status||Published - 2007 Dec|
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