We complete the proof of the fact that the moduli space of rank two bundleswith trivial determinant embeds into the linear system of divisors on$Pic^{g-1}C$ which are linearly equivalent to $2\Theta$. The embedded tangentspace at a semi-stable non-stable bundle $\xi\oplus\xi^{-1}$, where $\xi$ is adegree zero line bundle, is shown to consist of those divisors in $|2\Theta|$which contain $Sing(\Theta_{\xi})$ where $\Theta_{\xi}$ is the translate of$\Theta$ by $\xi$. We also obtain geometrical results on the structure of thistangent space.
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机译:我们完成了以下事实的证明:带有平凡行列式的第二级捆绑束的模空间嵌入到线性等于$ 2 \ Theta $的$ Pic ^ {g-1} C $的除数线性系统中。半稳定非稳定束$ \ xi \ oplus \ xi ^ {-1} $处的嵌入切线空间(其中$ \ xi $是零度线束)显示为由$ | 2 \ Theta中的那些除数组成| $包含$ Sing(\ Theta _ {\ xi})$,其中$ \ Theta _ {\ xi} $是$ \ Theta $到$ \ xi $的转换。我们还获得了该切线空间结构的几何结果。
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