Corpus ID: 55083385

ALGEBRAIC GEOMETRY BETWEEN NOETHER AND NOETHER — A FORGOTTEN CHAPTER IN THE HISTORY OF ALGEBRAIC GEOMETRY

@article{Gray1997ALGEBRAICGB,
  title={ALGEBRAIC GEOMETRY BETWEEN NOETHER AND NOETHER — A FORGOTTEN CHAPTER IN THE HISTORY OF ALGEBRAIC GEOMETRY},
  author={Jeremy Gray},
  journal={Revue d Histoire des Mathematiques},
  year={1997},
  volume={3},
  pages={1-48}
}
  • J. Gray
  • Published 1997
  • Mathematics
  • Revue d Histoire des Mathematiques
Mathematicians and historians generally regard the modern period in algebraic geometry as starting with the workof Kroneck er and Hilbert. But the relevant papers by Hilbert are often regarded as reformulating invariant theory, a much more algebraic topic, while Kronecker has been presented as the doctrinaire exponent of finite, arithmetical mathematics. Attention is then focused on the Italian tradition, leaving the path to Emmy Noether obscure and forgotten. There was, however, a steady flow… Expand
Some recent work on the History of Mathematics in the 20th Century
There has been a steady stream of articles and books in recent years on the mathematics of the last 100 years. Pieces of the century are emerging in a clearer historical focus, sharper questions areExpand
The Riemann-Roch theorem and geometry, 1854-1914.
The history of the Riemann-Roch Theorem, from its discovery by Riemann and Roch in the 1850's to its use by Castelnuovo and Enriques in from 1890 to 1914, o ers one of the most instructive examplesExpand
Geometry at Cambridge, 1863–1940☆
This paper traces the ebbs and flows of the history of geometry at Cambridge from the time of Cayley to 1940, and therefore the arrival of a branch of modern mathematics in Great Britain. Cayley hadExpand
MAXIMAL IDEALS IN POLYNOMIAL RINGS
Our goal here is to prove three results about maximal ideals in polynomial rings: describe the maximal ideals in K[x1, . . . , xn] when K is an algebraically closed field, the maximal ideals in K[x1,Expand
Existence Assumptions and Logical Principles: Choice Operators in Intuitionistic Logic
Hilbert’s choice operators τ and e, when added to intuitionistic logic, strengthen it. In the presence of certain extensionality axioms they produce classical logic, while in the presence of weakerExpand
Effective rationality of second-order symmetric tensor spaces
We consider the natural $$\mathrm {SO}(3,\Bbbk )$$ linear representation, $$\Bbbk =\mathbb {C}$$ or $$\mathbb {R}$$ , on the $$\Bbbk$$ vector space $${\mathsf {V}}=n\mathbb {S}^{2}(\mathbbExpand
L' entre-deux-guerres mathématique à travers les thèses soutenues en France
L'entre-deux-guerres mathematique est etudie a partir des 242 theses en sciences mathematiques soutenues en France. Ce corpus est analyse a trois niveaux differents. L'analyse de premier niveauExpand

References

SHOWING 1-10 OF 21 REFERENCES
Recensioni/Reviews-Modern Algebra and the Rise of Mathematical Structures
The notion of mathematical structure is among the most pervasive ones in twentieth century mathematics. "Modern algebra and the rise of mathematical structures" describes two stages in the historicalExpand
Basic algebraic geometry
The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with first volume the author has revised the textExpand
Commutative Algebra: with a View Toward Algebraic Geometry
Introduction.- Elementary Definitions.- I Basic Constructions.- II Dimension Theory.- III Homological Methods.- Appendices.- Hints and Solutions for Selected Exercises.- References.- Index ofExpand
Zur algebraischen Geometrie. IX
Es ist prinzipiell wichtig, geometrische Gebilde durch Koordinaten darstellen zu konnen. Ist das namlich fur eine bestimmte Art von Gebilden G einmal geschehen, so hat es einen Sinn, von einerExpand
The genesis of ideal theory
L'A. examine les oeuvres de E. Kummer (a partir de 1844), de Dedekind (dont il soutient que la premiere version de son arithmetique en 1871 est meilleure que les suivantes), de L. Kronecker (dont ilExpand
Vorlesungen uber die Entwicklung der Mathematik im 19. Jahrhundert
Kaum jemals wird tin Werk eines Historikers einen so starken Reiz tiben und so tiefe Einblicke in das Wesen der Geschichte offnen wie Gedanken und Erinnerungen eines groBen Staatsmannes, welcherExpand
Ueber die vollen Invariantensysteme
Meine Abhandlung „ Uber die Theorie der algebraischen Formen“1 enthalt eine Reihe von Theoremen, welche fur die Theorie der algebraischen Invarianten von Bedeutung sind. Insbesondere in Abschnitt VExpand
Introduction to commutative algebra
* Introduction * Rings and Ideals * Modules * Rings and Modules of Fractions * Primary Decomposition * Integral Dependence and Valuations * Chain Conditions * Noetherian Rings * Artin Rings *Expand
Zermelo’s Axiom of Choice
Theorie der algebraischen Functionen einer Veränderlichen.
...
1
2
3
...