On the Splitting Principle of Beniamino Segre

TL;DR

This paper revisits and proves a modern version of Beniamino Segre's 1938 Splitting Principle, strengthening the classical Principle of Connectedness in algebraic geometry.

Contribution

It formalizes and proves a modern, stronger form of Segre's Splitting Principle, clarifying its significance in algebraic geometry.

Findings

Proves a modern version of Segre's Splitting Principle.

Establishes a stronger form of the classical Principle of Connectedness.

Provides a rigorous proof in contemporary mathematical language.

Abstract

We state and prove in modern terms a Splitting Principle first claimed by Beniamino Segre in 1938, which should be regarded as a strong form of the classical Principle of Connectedness.