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arXiv · 2212.12328

GIT of complete intersections and log canonical thresholds

Theodoros Stylianos Papazachariou
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Abstract

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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Theodoros Stylianos Papazachariou. 2022-12-23. GIT of complete intersections and log canonical thresholds. https://arxiv.org/abs/2212.12328

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