From Classical to Modern Algebraic Geometry

Part I. Corrado Segre’ Leadership: From Turin to the International Scene

1. Segre’s University Courses and the Blossoming of the Italian School of Algebraic Geometry
Alberto Conte, Livia Giacardi

2. Corrado Segre and His Disciples: the Construction of an International Identity for the Italian School of Algebraic Geometry
Erika Luciano, Clara Silvia Roero

3. Segre, Klein, and the Theory of Quadratic Line Complexes
David E. Rowe

4. Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers
Aldo Brigaglia

5. Segre, Castelnuovo, Enriques: Missing Links
Paola Gario

Part I. Corrado Segre’ Leadership: From Turin to the International Scene

6. Corrado Segre: Biographical Timeline
Livia Giacardi

7. Algebraic Elements of the Cremona Groups
Jérémy Blanc

8. Segre Functions in Multiprojective Spaces and Tensor Analysis
Luca Chiantini, Duccio Sacchi

9. Cremona Linearizations of Some Classical Varieties
Ciro Ciliberto, Maria Angelica Cueto, Massimiliano Mella, Kristian Ranestad, Piotr Zwiernik

10. An Account of Instanton Bundles on Hyperquadrics
Laura Costa, Rosa M. Miró-Roig, Joan Pons-Llopis

11. Corrado Segre and Nodal Cubic Threefolds
Igor Dolgachev

12. Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations
Margarida Mendes Lopes, Rita Pardini

13. Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles
Emilia Mezzetti

14. Corrado Segre, Guido Castelnuovo and the Riemann-Roch Theorem
Edoardo Sernesi

Part III. The Unpublished Notebook of Corrado Segre onGeometry on Simply Infinite Algebraic Entities (1890–1891)

15. Introduction to the Handwritten Notebook on Geometry on Simply Infinite Algebraic Entities (1890–91)
Alberto Conte

16. Lezioni di Geometria Superiore 1890–91 Introduzione alla Geometria sugli Enti Algebrici Semplicemente Infiniti
Corrado Segre

Keywords: Mathematics, History of Mathematical Sciences, Algebraic Geometry