Birational boundedness of rationally connected Calabi-Yau 3-folds

被引：14
|
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.
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页数：32
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