STABILITY CONDITIONS AND CALABI-YAU FIBRATIONS

被引：13

作者：

Toda, Yukinobu ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2009年 / 18卷 / 01期

关键词：

FLOPS; CATEGORIES;

D O I：

10.1090/S1056-3911-08-00511-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we describe the spaces of stability conditions for the triangulated categories associated to three-dimensional Calabi-Yau fibrations. We deal with two cases, the flat elliptic fibrations and smooth K3 (Abelian) fibrations. In the first case. we will see that there exist chamber structures similar to those of the movable cone used in birational geometry. In the second case, we will compare the space with the space of stability conditions for the closed fiber of the fibration.

引用

页码：101 / 133

页数：33

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