Geometry of lines and degeneracy loci of morphisms of vector bundles

TL;DR

This paper surveys recent advances in the study of degeneracy loci of vector bundle morphisms, highlighting the foundational influence of Corrado Segre on line geometry and its modern developments.

Contribution

It provides an overview of recent results in degeneracy loci theory inspired by Corrado Segre's foundational work in line geometry.

Findings

Summarizes key recent results in degeneracy loci of vector bundles.

Connects classical line geometry with modern vector bundle theory.

Highlights the influence of Corrado Segre's work on current research.

Abstract

Corrado Segre played a leading role in the foundation of line geometry. We survey some recent results on degeneracy loci of morphisms of vector bundles where he still is of profound inspiration.