Dominant rational maps in the category of log schemes

Isamu Iwanari; Atsushi Moriwaki

doi:10.2748/tmj/1199649872

Dominant rational maps in the category of log schemes

Isamu Iwanari, Atsushi Moriwaki

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	481-525
Number of pages	45
Journal	Tohoku Mathematical Journal
Volume	59
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1199649872
Publication status	Published - 2007 Dec
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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abstract = "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.",

author = "Isamu Iwanari and Atsushi Moriwaki",

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Dominant rational maps in the category of log schemes

Abstract

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