From Classical to Modern Algebraic Geometry Corrado Segre’s Mastership and Legacy 1st Edition by Gianfranco Casnati,Alberto Conte,Letterio Gatto,Livia Giacardi,Marina Marchisio,Alessandro Verra ISBN 3319329928 9783319329925

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Product details:

ISBN 10: 3319329928

ISBN 13: 9783319329925 

Author: Gianfranco Casnati, Alberto Conte, Letterio Gatto, Livia Giacardi, Marina Marchisio, Alessandro Verra

This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy.

One of the book’s most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary. Representing a prelude to Segre’s seminal 1894 contribution on the theory of algebraic curves, this manuscript and other important archival sources included in the essays shed new light on the eminent role he played at the international level.

Including both survey articles and original research papers, the book is divided into three parts: section one focuses on the implications of Segre’s work in a historic light, while section two presents new results in his field, namely Algebraic Geometry. The third part features Segre’s unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891).

This volume will appeal to scholars in the History of Mathematics, as well as to researchers in the current subfields of Algebraic Geometry.

Table of contents:

PART I
Corrado Segre’ Leadership: From Turin to the International Scene
Segre’s University Courses and the Blossoming of the Italian School of Algebraic Geometry
Corrado Segre and His Disciples: the Construction of an International Identity for the Italian School of Algebraic Geometry
Segre, Klein, and the Theory of Quadratic Line Complexes
Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers
Segre, Castelnuovo, Enriques: Missing Links
Corrado Segre: Biographical Timeline

PART II
Perspectives on Segre’s Legacy
Algebraic Elements of the Cremona Groups
Segre Functions in Multiprojective Spaces and Tensor Analysis
Cremona Linearizations of Some Classical Varieties
An Account of Instanton Bundles on Hyperquadrics
Corrado Segre and Nodal Cubic Threefolds
Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations
Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles
Corrado Segre, Guido Castelnuovo and the Riemann-Roch Theorem

PART III
The Unpublished Notebook of Corrado Segre on Geometry on Simply Infinite Algebraic Entities (1890–1891)
Introduction to the Handwritten Notebook on Geometry on Simply Infinite Algebraic Entities (1890–91)
Lezioni di Geometria Superiore 1890–91 Introduzione alla Geometria sugli Enti Algebrici Semplicemente Infiniti
Appendix 1: Corrado Segre’s Archives at the University of Turin
Appendix 2: Bibliography of the Works by Corrado Segre
Name Index

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Tags: Gianfranco Casnati, Alberto Conte, Letterio Gatto, Livia Giacardi, Marina Marchisio, Alessandro Verra, Classical, Modern, Algebraic Geometry, Corrado Segre, Mastership, Legacy