English

GIT of complete intersections and log canonical thresholds

Algebraic Geometry 2022-12-26 v1

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.

Keywords

Cite

@article{arxiv.2212.12328,
  title  = {GIT of complete intersections and log canonical thresholds},
  author = {Theodoros Stylianos Papazachariou},
  journal= {arXiv preprint arXiv:2212.12328},
  year   = {2022}
}

Comments

10 pages. Comments very welcome. arXiv admin note: text overlap with arXiv:2212.09332

R2 v1 2026-06-28T07:50:35.843Z