TL;DR
This paper proves that most three-dimensional determinantal hypersurfaces are nodal and provides a formula for their intersection homology Euler characteristic using Chern classes.
Contribution
It establishes the nodality of general 3D determinantal hypersurfaces and derives a new formula for their intersection homology Euler characteristic.
Findings
Most 3D determinantal hypersurfaces are nodal.
A formula for the intersection homology Euler characteristic is derived.
The approach uses Chern classes associated with bundle morphisms.
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.
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