Isolated Hypersurface Singularities May Be Stably Degenerate

Mark McLean; Ivan Smith

Isolated Hypersurface Singularities May Be Stably Degenerate

Algebraic Geometry 2026-07-03 v1 Symplectic Geometry

Authors: Mark McLean , Ivan Smith

Abstract

We prove the existence of stably degenerate hypersurface singularities. Ingredients in the proof include the mixed Hodge structure on the contact locus of a singularity and that moduli spaces of polarised abelian varieties of large dimension are of general type.

Cite

@article{arxiv.2607.03497,
  title  = {Isolated Hypersurface Singularities May Be Stably Degenerate},
  author = {Mark McLean and Ivan Smith},
  journal= {arXiv preprint arXiv:2607.03497},
  year   = {2026}
}

Comments

16 pages, one figure