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El. knyga: From Classical to Modern Algebraic Geometry: Corrado Segre's Mastership and Legacy

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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One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary.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 The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891).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.
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
3(90)
Alberto Conte
Livia Giacardi
Corrado Segre and His Disciples: the Construction of an International Identity for the Italian School of Algebraic Geometry
93(150)
Erika Luciano
Clara Silvia Roero
Segre, Klein, and the Theory of Quadratic Line Complexes
243(22)
David E. Rowe
Segre and the Foundations of Geometry: From Complex Projective Geometry to Dual Numbers
265(24)
Aldo Brigaglia
Segre, Castelnuovo, Enriques: Missing Links
289(36)
Paola Gario
Corrado Segre: Biographical Timeline
325(26)
Livia Giacardi
Part II Perspectives on Segre's Legacy
Algebraic Elements of the Cremona Groups
351(10)
Jeremy Blanc
Segre Functions in Multiprojective Spaces and Tensor Analysis
361(14)
Luca Chiantini
Duccio Sacchi
Cremona Linearizations of Some Classical Varieties
375(34)
Ciro Ciliberto
Maria Angelica Cueto
Massimiliano Mella
Kristian Ranestad
Piotr Zwiernik
An Account of Instanton Bundles on Hyperquadrics
409(42)
Laura Costa
Rosa M. Miro-Roig
Joan Pons-Llopis Corrado Segre
Nodal Cubic Threefolds
Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations
451(24)
Margarida Mendes Lopes
Rita Pardini
Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles
475(10)
Emilia Mezzetti
Corrado Segre, Guido Castelnuovo and the Riemann-Roch Theorem
485(14)
Edoardo Sernesi
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)
499(6)
Alberto Conte
Lezioni di Geometria Superiore 1890--91 Introduzione alia Geometria sugli Enti Algebrici Semplicemente Infiniti
505(212)
Corrado Segre
Appendix 1 Corrado Segre's Archives at the University of Turin 717(14)
Appendix 2 Bibliography of the Works 731(14)
Corrado Segre
Name Index 745