A note on nodal determinantal hypersurfaces
arXiv:1912.00929 · doi:10.1007/s10711-020-00512-y
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.
17 pages, added Remark 4.10. Final version accepted for publication in Geometriae Dedicata