Birational boundedness of rationally connected Calabi-Yau 3-folds

被引：15

作者：

Chen, Weichung ^{[1
]}

Cerbo, Gabriele Di ^{[2
]}

Han, Jingjun ^{[3
]}

Jiang, Chen ^{[4
]}

Svaldi, Roberto ^{[5
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

[2] Princeton Univ, Dept Math, Princeton, NJ 08540 USA

[3] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

[4] Fudan Univ, Shanghai Ctr Math Sci, Jiangwan Campus,2005 Songhu Rd, Shanghai 200438, Peoples R China

[5] Ecole Polytech Fed Lausanne, SB MATH GE, MA B1 497 Batiment MA,Stn 8, CH-1015 Lausanne, Switzerland

来源：

ADVANCES IN MATHEMATICS | 2021年 / 378卷

关键词：

Calabi-Yau; 3-folds; Boundedness; Rationally connected; MINIMAL LOG DISCREPANCIES; VARIETIES; UNIRATIONALITY; EXISTENCE; MODELS; PAIRS;

D O I：

10.1016/j.aim.2020.107541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that rationally connected Calabi-Yau 3-folds with Kawamata log terminal (klt) singularities form a birationally bounded family, or more generally, rationally connected 3 folds of epsilon-CY type form a birationally bounded family for epsilon > 0. Moreover, we show that the set of epsilon-lc log Calabi-Yau pairs (X, B) with coefficients of B bounded away from zero is log bounded modulo flops. As a consequence, we deduce that rationally connected klt Calabi-Yau 3-folds with mld bounded away from 1 are bounded modulo flops. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：32

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