Castelnuovo's bound and rigidity in almost complex geometry
Castelnuovo's bound and rigidity in almost complex geometry
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DOI：
10.1016/j.aim.2020.107550
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发表时间：
2021-01-12
影响因子：
1.7
通讯作者：
Walpuski, Thomas
中科院分区：
文献类型：
--
作者：
Doan, Aleksander;Walpuski, Thomas
本文研究几乎复流形中伪全纯曲线的能量界是否蕴涵亏格界的问题。在回顾了六维以外的其他维度之后，我们在六维中建立了一个新的结果，特别是对于辛卡-丘3-折叠。证明依赖于伪全纯流的紧性和正则性定理。(C)2021爱思唯尔公司All rights reserved.
This article is concerned with the question of whether an energy bound implies a genus bound for pseudo-holomorphic curves in almost complex manifolds. After reviewing what is known in dimensions other than six, we establish a new result in this direction in dimension six; in particular, for symplectic Calabi-Yau 3-folds. The proof relies on compactness and regularity theorems for pseudo-holomorphic currents. (C) 2021 Elsevier Inc. All rights reserved.