English

The Spectrum of Hypersurface Singularities

Algebraic Geometry 2020-03-03 v1

Abstract

This text is the write-up of a series of lectures on the asymptotic mixed Hodge theory of isolated hypersurface singularities, held at the Third Latin American school on Algebraic Geometry and its applications (ELGA 3) in Guanajuato, Mexico, in august 2017. Its focus is on the classical application of the semi-continuity of the spectrum due to Varchenko and Steenbrink to the problem of bounding the possible singularities on a projective hypersurface.

Keywords

Cite

@article{arxiv.2003.00519,
  title  = {The Spectrum of Hypersurface Singularities},
  author = {Duco van Straten},
  journal= {arXiv preprint arXiv:2003.00519},
  year   = {2020}
}

Comments

46 pages, 20 pictures, mainly expository

R2 v1 2026-06-23T13:59:24.209Z