论文标题
关于Dedekind方案的扭曲D模型全球化的过滤
Filtrations on the globalization of twisted D-modules over Dedekind schemes
论文作者
论文摘要
Fabian Januszewski和作者在一般基础方案上建立了扭曲的D模块的理论。 In this short note, we construct a $K$-invariant positive exhaustive filtration on the globalization of the twisted D-module on a smooth quasi-compact $K$-scheme over a Dedekind scheme $S$ obtained by the direct image of a $K$-equivariant twisted integrable connection along a $K$-equivariant closed immersion from a smooth proper $K$-scheme $Y$ with $K$ a smooth $ s $ affine组方案，其$ p $ th相关的分级$ \ mathcal {o} _s $ -module对于每个整数$ p $均无有限等级。特别是，如果$ s $是带有坐标环$ k $的仿射，则其全球部分的$ k $模块是投影。
Fabian Januszewski and the author established the theory of twisted D-modules over general base schemes. In this short note, we construct a $K$-invariant positive exhaustive filtration on the globalization of the twisted D-module on a smooth quasi-compact $K$-scheme over a Dedekind scheme $S$ obtained by the direct image of a $K$-equivariant twisted integrable connection along a $K$-equivariant closed immersion from a smooth proper $K$-scheme $Y$ with $K$ a smooth $S$-affine group scheme, whose $p$th associated graded $\mathcal{O}_S$-module is locally free of finite rank for every integer $p$. In particular, the $k$-module of its global sections is projective if $S$ is affine with coordinate ring $k$.
