关于四元数Siegel空间的超奇异轨迹
On the supersingular loci of quaternionic Siegel space
摘要:
本文研究了四元数代数中具有极大序模作用的主极化阿贝尔8重特征p模空间的超奇异轨迹,即在无穷远处不分裂,而在p处分裂,主要结果是它的不可约分支是p+1次Fermat曲面.
英文摘要:
The paper studies the supersingular locus of the characteristic p moduli space of principally polarized abelian 8-folds that are equipped with an action of a maximal order in a quaternion algebra, that is non-split at the infinite place, but split at p. The main result is that its irreducible components are Fermat surfaces of degree p+1.
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。