复4-环面的自旋（7）瞬子、稳定丛和Bogomolov不等式
Spin(7)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori
摘要：
利用8维Spin（7）-流形的规范理论，我们发展了一个称为Spin-旋转的过程，它将4维复环面上向量丛上的（稳定）全纯结构变换为另一个复环面上的新的全纯结构.我们显示非平凡的例子，这个过程中旋转的可分解的韦尔阿贝尔簇到一个不可分解的。作为一个副产品，我们得到了一个Bogomolov型不等式，它给出了限制的存在稳定的束上的阿贝尔簇的尺寸4，并显示的例子中，这是强于通常的Bogomolov不等式。
英文摘要：
Using gauge theory for Spin(7)-manifolds of dimension 8, we develop a procedure, called Spin-rotation, which transforms a (stable) holomorphic structure on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different complex torus. We show non-trivial examples of this procedure by rotating a decomposable Weil abelian variety into a non-decomposable one. As a byproduct, we obtain a Bogomolov type inequality, which gives restrictions for the existence of stable bundles on an abelian variety of dimension 4, and show examples in which this is stronger than the usual Bogomolov inequality.
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