English

A note on nodal determinantal hypersurfaces

Algebraic Geometry 2020-03-17 v2

Abstract

We prove that a general determinantal hypersurface of dimension 3 is nodal. Moreover, in terms of Chern classes associated with bundle morphisms, we derive a formula for the intersection homology Euler characteristic of a general determinantal hypersurface.

Keywords

Cite

@article{arxiv.1912.00929,
  title  = {A note on nodal determinantal hypersurfaces},
  author = {Sz-Sheng Wang},
  journal= {arXiv preprint arXiv:1912.00929},
  year   = {2020}
}

Comments

17 pages, added Remark 4.10. Final version accepted for publication in Geometriae Dedicata

R2 v1 2026-06-23T12:33:22.753Z