关于规范模型的有界性

IF 1 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-09-14 DOI:10.2140/ant.2025.19.2119

Junpeng Jiao

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引用次数: 0

摘要

推测当Iitaka体积固定时，变种（非一般型）的典型模型是有界的。当具有相应Iitaka纤维的一般光纤处于极化对数Calabi-Yau对的固定有界族中时，我们证实了这一猜想。

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On the boundedness of canonical models

It is conjectured that the canonical models of varieties (not of general type) are bounded when the Iitaka volume is fixed. We confirm this conjecture when a general fiber of the corresponding Iitaka fibration is in a fixed bounded family of polarized log Calabi–Yau pairs.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.