From Classical to Modern Algebraic Geometry: Corrado Segre's Mastership and Legacy
Gianfranco Casnati, Alberto Conte, Letterio Gatto, Livia Giacardi, Marina Marchisio, Alessandro Verra
Birkhäuser, 20 d’abr. 2017 - 756 pàgines
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One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary.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 The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891).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.
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the Construction of an International Identity for the Italian School of Algebraic Geometry
3 Segre Klein and the Theory of Quadratic Line Complexes
From Complex Projective Geometry to Dual Numbers
Perspectives on Segres Legacy
7 Algebraic Elements of the Cremona Groups
11 Corrado Segre and Nodal Cubic Threefolds
12 Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations
13 Geometry of Lines and Degeneracy Loci of Morphisms of Vector Bundles
14 Corrado Segre Guido Castelnuovo and the RiemannRoch Theorem
The Unpublished Notebook of Corrado Segre on Geometry on Simply Infinite Algebraic Entities 18901891
15 Introduction to the Handwritten Notebook on Geometry on Simply Infinite Algebraic Entities 189091
16 Lezioni di Geometria Superiore 189091 Introduzione alla Geometria sugli Enti Algebrici Semplicemente Infiniti
Appendix 1 Corrado Segres Archivesat the University of Turin