论文标题
动机和$ \ ell $ -Adic实现的奇异性类别的零位点的类别
Motivic and $\ell$-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle
论文作者
论文摘要
我们研究了在常规方案中，线条捆绑包的全球部分的零位点的DG类别的动机和$ \ ell $ - ad-adic实现。然后，由于D. Orlov和J.〜Burke -M.〜Walker，我们将使用以这种方式获得的公式与定理一起获得，以给出$ \ ell $ - $ - 亚法的实现DG类别，即在常规的dimension $ n $的局部环上的特殊纤维的DG类别。
We study the motivic and $\ell$-adic realizations of the dg category of singularities of the zero locus of a global section of a line bundle over a regular scheme. We will then use the formula obtained in this way together with a theorem due to D.~Orlov and J.~Burke - M.~Walker to give a formula for the $\ell$-adic realization of the dg category of singularities of the special fiber of a scheme over a regular local ring of dimension $n$.
