Guido Castelnuovo's Last Higher Geometry Lectures (1922-23)

TL;DR

This paper presents the transcription of Guido Castelnuovo's last lecture notes from 1922-23 on plane and space algebraic curves, contributing to historical mathematical education documentation.

Contribution

It provides a carefully transcribed, annotated version of Castelnuovo's final lectures, preserving historical mathematical insights and pedagogical approaches.

Findings

Historical insights into algebraic geometry teaching

Preservation of Castelnuovo's lecture content

Contribution to mathematical history documentation

Abstract

Here we present the transcription of the handwritten notes, carefully taken by an anonymous student, of the last lecture course taught by Guido Castelnuovo in 1922-23. The title of the course is "Curve algebriche piane e sghembe" ("Plane and space algebraic curves"): indeed, the language of both the original text and our brief introduction is Italian. The manuscript belongs to the legacy of Alfredo Franchetta (1916-2011) and the typesetting is due to Natascia Zangani. This edition is our modest contribution to celebrate the 150th birth anniversary of Guido Castelnuovo (1865-1952).