有限向量丛的Hodge上同调
Hodge cohomology of étale Nori finite vector bundles
摘要：
Étale Nori有限向量丛是由有限étale群方案的表示以通常方式定义的丛。本文证明了在许多情况下，这样的向量丛的Hodge上同调群的维数与它被基域的自同构扭曲的维数相同。这将Pink-Roessler的一个结果推广到高阶情形。
英文摘要：
Étale Nori finite vector bundles are those bundles defined by representations of a finite étale group scheme in the usual way. In this note we show that in many cases the dimensions of the Hodge cohomology groups of such a vector bundle and of a twist of it by an automorphism of the ground field are the same. This generalizes to the higher rank case a result of Pink-Roessler.
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。
