论文标题

部分可观测时空混沌系统的无模型预测

GIT of complete intersections and log canonical thresholds

论文作者

Papazachariou, Theodoros Stylianos

论文摘要

我们在同一环境射影空间中具有相同程度高空的完整交叉点的GIT稳定性之间建立了联系,这可以在格拉马尼亚方案中作为元素进行参数,而这些分组中包含在这些元素中的高空凹口的对数规范阈值。在GIT商的变化情况下,我们还建立了类似的联系,在该情况下,我们考虑了完整的交叉点和独特的超平面。

We establish a link between the GIT stability of complete intersections of same degree hypersurfaces in the same ambient projective space, which can be parametrised as tuples in a Grassmanian scheme, and the log canonical thresholds of hypersurfaces contained in these tuples. We also establish a similar link in the case of Variations of GIT quotients, where we consider tuples of complete intersections and distinct hyperplanes.

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