特殊线性群的Holme型定理
Holme type theorem for special linear groups
摘要：
设Z是仿射代数簇，ED（Z）= max（2 dim Z+1，dim TZ）.设X是同构于半单线性代数群的光滑代数簇，其李代数是特殊线性李代数的和。我们证明了如果dim X > ED（Z）-1，则Z允许一个闭嵌入到X中.我们还证明了对任意光滑仿射柔性簇Y，只要n > dim Z- 2且dim Y +n > ED（Z）-1，就存在$Z$到Y与仿射n-空间的乘积中的闭嵌入.
英文摘要：
Let Z be an affine algebraic variety and ED(Z)= max(2 dim Z+1, dim TZ). Let X be a smooth algebraic variety isomorphic to a semi-simple linear algebraic group whose Lie algebra is a sum of special linear Lie algebras. We show that if dim X > ED(Z) -1, then Z admits a closed embedding into X. We also show that for every smooth affine flexible variety Y there is a closed embedding of $Z$ into the the product of Y and an affine n-space provided that n > dim Z- 2 and dim Y +n > ED (Z) -1.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
