Canonical singularities on moduli spaces of rational curves via the circle method

Jakob Glas

Canonical singularities on moduli spaces of rational curves via the circle method

Algebraic Geometry 2024-12-23 v2 Number Theory

Authors: Jakob Glas

Abstract

By developing a suitable version of the circle method, we show that the space of degree $e$ rational curves on a smooth hypersurface of degree $d$ has only canonical singularities provided its dimension is sufficiently large with respect to $e$ and $d$ .

Keywords

rational curves moduli spaces canonical singularities circle method algebraic geometry

Cite

@article{arxiv.2405.16648,
  title  = {Canonical singularities on moduli spaces of rational curves via the circle method},
  author = {Jakob Glas},
  journal= {arXiv preprint arXiv:2405.16648},
  year   = {2024}
}

Comments

withdrawn since superseded arXiv:2412.14923

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