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Subvarieties of low degree on general hypersurfaces

Algebraic Geometry 2025-10-15 v1

Abstract

The purpose of this note is to show that the subvarieties of small degree inside a general hypersurface of large degree come from intersecting with linear spaces or other varieties.

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Cite

@article{arxiv.2510.11865,
  title  = {Subvarieties of low degree on general hypersurfaces},
  author = {Nathan Chen and David Yang},
  journal= {arXiv preprint arXiv:2510.11865},
  year   = {2025}
}

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17 pages