Dominant rational maps in the category of log schemes

Iwanari, Isamu; Moriwaki, Atsushi

Tohoku Math. J. (2), Tome 59 (2007) no. 1, p. 481-525 / Harvested from Project Euclid

Résumé

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.

Publié le : 2007-05-15
Classification: 14G05, 14E05

@article{1199649872,
     author = {Iwanari, Isamu and Moriwaki, Atsushi},
     title = {Dominant rational maps in the category of log schemes},
     journal = {Tohoku Math. J. (2)},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 481-525},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1199649872}
}

Iwanari, Isamu; Moriwaki, Atsushi. Dominant rational maps in the category of log schemes. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp.  481-525. http://gdmltest.u-ga.fr/item/1199649872/