论文标题
Conifold过渡的家庭浮子Syz奇点
Family Floer SYZ singularities for the conifold transition
论文作者
论文摘要
我们显示了在家庭浮动环境中提出的SYZ猜想的数学精确版本，该版本是针对Conifold的，该版本具有平滑和毛茸茸的分辨率之间具有猜想的镜面关系。奇异的T偶纤维是明确编写的，并与镜群品种中的Codimension-2“缺失点”完全相对应，该元素确认了Chan，Pomerleano和UEDA的投机，但仅在非Archimedean环境中。关于纯粹的Berkovich几何区域和忘记了所有镜像背景，我们的B侧分析纤维也是一个新的明确示例，是带有单数扩展的affinoid圆环纤维。
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context, for the conifold with a conjectural mirror relation between smoothing and crepant resolution. The singular T-duality fibers are explicitly written and exactly correspond to the codimension-2 `missing points' in the mirror cluster variety, which confirms the speculation of Chan, Pomerleano, and Ueda but only in the non-archimedean setting. Concerning purely the area of Berkovich geometry and forgetting all the mirror symmetry background, our B-side analytic fibration is also a new explicit example of affinoid torus fibration with singular extension.
