论文标题
caractéristiquesdesschémasFeuilletés
Classes caractéristiques des schémas feuilletés
论文作者
论文摘要
我们研究了关于计划和任意特征方案的衍生叶子的概念。我们介绍了与衍生叶片相关的Hodge过滤，该叶子的功能性过滤器衍生出DE RHAM的共同体学。我们使用这种过滤来研究沿衍生叶的结合的完美配合物的Chern类别的消失结果。作为一种应用，我们证明了Bott消失的定理的积极特征版本，并且更普遍地存在着由于特征零的Baum-Bott引起的奇异性叶子的残留物。
We study a notion of derived foliations on schemes and derived schemes of arbitrary characteristics. We introduce the Hodge filtration associated to a derived foliation, which functorialy filters derived de Rham cohomology. We use this filtration to study vanishing results of Chern classes of perfect complexes endowed with connexions along derived foliations. As an application, we prove a positive characteristic version of Bott's vanishing theorem and more generally of existence of residues for foliations with singularities due to Baum-Bott in characteristic zero.
