关于有界域商的Lang猜想的注解

IF 0.9 Q2 MATHEMATICS
S. Boucksom, Simone Diverio
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引用次数: 12

摘要

Lang推测一个复射影流形是kobayashi双曲的,当且仅当它和它的所有子变体都是一般型。我们证明了这个猜想的投影流形,其普遍覆盖携带一个有界的,严格多次调和函数。这特别包括有界域的紧自由商。评论:10页,无数字,欢迎评论。3:根据审稿人的建议,本文一直在改进论述,我们增加了定理a的一个变体,该变体包含了其全称覆盖允许有界psh函数的流形,该函数仅在一点上是严格的psh函数,并增加了一节示例。最终版本,将出现在'Epijournal G ' em '上。Alg \ ' ebrique
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A note on Lang's conjecture for quotients of bounded domains
It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. We verify this conjecture for projective manifolds whose universal cover carries a bounded, strictly plurisubharmonic function. This includes in particular compact free quotients of bounded domains. Comment: 10 pages, no figures, comments are welcome. v3: following suggestions made by the referee, the exposition has been improved all along the paper, we added a variant of Theorem A which includes manifolds whose universal cover admits a bounded psh function which is strictly psh just at one point, and we added a section of examples. Final version, to appear on \'Epijournal G\'eom. Alg\'ebrique
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来源期刊
CiteScore
1.20
自引率
0.00%
发文量
19
审稿时长
25 weeks
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