A_{1}和A_{2n}型伴随群的Totaro问题
Totaro's Question for Adjoint Groups of Types A_{1} and A_{2n}
摘要：
设$G$是域$k$上的光滑连通线性代数群，$X$是$G$ -torson.户太郎问：如果PDMATHAMO允许一个度为$d \geq 1$的零圈，那么$X$是否有一个度为$d$的闭合顶点？本文对特征$\neq 2$域上的$A_{1}$型和$A_{2n}$型的绝对单经典伴随群给出了肯定的回答.
英文摘要：
Let $G$ be a smooth connected linear algebraic group over a field $k$, and let $X$ be a $G$-torsor. Totaro asked: if $X$ admits a zero-cycle of degree $d \geq 1$, then does $X$ have a closed étale point of degree dividing $d$? We give an affirmative answer for absolutely simple classical adjoint groups of types $A_{1}$ and $A_{2n}$ over fields of characteristic $\neq 2$.
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。
