论文标题
学位2线性代数群的共同出现
Degree 2 cohomological invariants of linear algebraic groups
论文作者
论文摘要
该论文介绍了在任意领域的平稳和连接线性代数组的共同出现的。更确切地说，我们研究学位$ 2 $不变的具有系数$ \ MATHBB {q}/\ MATHBB {Z}（1）$，这是在Brauer组中占值的不变性。我们的主要工具是简单方案上的带轮的典型同步。我们会对\ emph {every}平滑且连接的线性组的这些不变性进行描述，尤其是在不完美的字段上的非还原组。
The paper deals with the cohomological invariants of smooth and connected linear algebraic groups over an arbitrary field. More precisely, we study degree $2$ invariants with coefficients $\mathbb{Q}/\mathbb{Z}(1)$, that is invariants taking values in the Brauer group. Our main tool is the étale cohomology of sheaves on simplicial schemes. We get a description of these invariants for \emph{every} smooth and connected linear groups, in particular for non reductive groups over an imperfect field.
