calabi-yau曲面正、混合特性的半丰富性

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2022-07-06 DOI:10.1017/nmj.2022.32

F. Bernasconi, L. Stigant

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引用次数: 2

摘要

摘要本文证明了一个优良基环上Kawamata对数终端Calabi-Yau (CY)曲面对的半强性猜想。作为应用，我们推导出广义丰度和Serrano猜想对曲面成立。最后，我们研究了混合特性DVR上CY三倍的半振幅猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SEMIAMPLENESS FOR CALABI–YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC

Abstract In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi–Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano’s conjecture hold for surfaces. Finally, we study the semiampleness conjecture for CY threefolds over a mixed characteristic DVR.

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.