论文标题
通过共生曲线的brauer组的brauer组
Brauer groups of moduli of hyperelliptic curves via cohomological invariants
论文作者
论文摘要
我们在任何特征零字段上计算过椭圆形曲线的Moduli堆栈的Brauer组$ \ MATHCAL {H} _g $。在积极的特征中,我们计算了Brauer群体的部分,其顺序是基础场的特征。
We compute the Brauer group of the moduli stack of hyperelliptic curves $\mathcal{H}_g$ over any field of characteristic zero. In positive characteristic, we compute the part of the Brauer group whose order is prime to the characteristic of the base field.