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Representation theory and algebraic geometry /

This book contains seven lectures delivered at The Maurice Auslander Memorial Conference at Brandeis University in March 1995. The variety of topics covered at the conference reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebrai...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Maurice Auslander Memorial Conference
Otros Autores: Martsinkovsky, A. (Alex), Todorov, G. (Gordana), Auslander, Maurice
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 1997.
Colección:London Mathematical Society lecture note series ; 238.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Representation theory and algebraic geometry /  |c edited by A. Martsinkovsky, G. Todorov. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 1997. 
300 |a 1 online resource (123 pages). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a London Mathematical Society lecture note series ;  |v 238 
500 |a "Transferred to digital printing 2002." 
500 |a Title from PDF title page (viewed on Apr. 9, 2013). 
500 |a "Lectures delivered at the Maurice Auslander Memorial Conference at Brandeis University in March 1995"--Page 4 of cover. 
500 |a "Conference was held ... March 24-26, 1995"--Preface. 
504 |a Includes bibliographical references. 
520 |a This book contains seven lectures delivered at The Maurice Auslander Memorial Conference at Brandeis University in March 1995. The variety of topics covered at the conference reflects the breadth of Maurice Auslander's contribution to mathematics, which includes commutative algebra and algebraic geometry, homological algebra and representation theory. He was one of the founding fathers of homological ring theory and representation theory of Artin algebras. Undoubtedly, the most characteristic feature of his mathematics was the profound use of homological and functorial techniques. For any researcher into representation theory, algebraic or arithmetic geometry, this book will be a valuable resource. 
505 0 |a Cover; Title; Copyright; Contents; Preface; Some problems on three-dimensional graded domains; 1. Introduction.; 2. Examples of graded domains of GK-dimension 3.; 3. A General Description of X = Proj A.; 4. A Conjecture.; 5. The Division Rings.; 6. Evidence.; 7. Prime Divisors of the Sklyanin Division Ring:; 8. Deformation of a Commutative Surface.; 9. An example of noncommutative blowing up.; References.; The mathematical influence of Maurice Auslander in Mexico; 1. Almost split sequences and irreducible maps.; 2. Powers of Dtr.; 3. Almost split sequences in subcategories. 
505 8 |a 4. Stable equivalence.5. The influence of M. Auslander in the development of representation theory in Mexico.; References; Intertwined with Maurice; REFERENCES; Introduction to Koszul Algebras; Abstract; 1 Introduction and Definitions; 2 Fundamental Theorems on Koszul Algebras; 3 Fundamental Results on Koszul Modules; 4 The Nongraded Case; 5 Global Dimensions 1 and 2 and Auslander Algebras; 6 Grobner Bases and Koszul Algebras; 7 Generalized Preprojective Algebras; References; Old and recent work with Maurice; 1 Stable equivalence; 2 Almost split sequences; 3 Commutative rings 
505 8 |a 4 Tilting theory5 Contravariantly finite subcategories and syzygies; References; The development of the representation theory of finite dimensional algebras 1968-1975; The Setting; Eight Topics in Eight Years; The Representation Types; The Basic Concepts; Seven Plus One?; Final remarks.; Main References; Additional References; Algebraic Geometry over Q; 1. Faisceaux arithmetiques coherents.; 1-1 Heights.; 1-2 Basic theorems of algebraic number theory; 1-3 The paper of Arakelov; 1-4 Cohomology of coherent sheaves; 1-5 More applications of Corollary 1. 
505 8 |a 1-6 The degree of a sub variety is the self-intersection.1-7 Grothendieck-Riemann-Roch?; 2. A la recherche de petits points: Numerical properties of the relative dualizing.; 2-1 wX/Ok is big (i.e. points are not too small).; 2-2 When is (wX/Ok.wX/Ok) > 0?; 2-3 wX/Ok must be small; 2-4 The instrinsic small points conjecture.; 3. What is our subject?; 3-1 Integral models or adelic studies; 3-2 What metrics to choose; 3-3 Galois action 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Representations of algebras  |v Congresses. 
650 0 |a Geometry, Algebraic  |v Congresses. 
650 0 |a Commutative algebra  |v Congresses. 
650 0 |a Representations of algebras  |x Congresses. 
650 0 |a Geometry, Algebraic  |x Congresses. 
650 0 |a Commutative algebra  |x Congresses. 
650 6 |a Représentations des algèbres  |x Congrès. 
650 6 |a Géométrie algébrique  |x Congrès. 
650 6 |a Algèbre commutative  |x Congrès. 
650 6 |a Représentations des algèbres  |v Congrès. 
650 6 |a Géométrie algébrique  |v Congrès. 
650 6 |a Algèbre commutative  |v Congrès. 
650 7 |a MATHEMATICS  |x Group Theory.  |2 bisacsh 
650 7 |a Commutative algebra  |2 fast 
650 7 |a Geometry, Algebraic  |2 fast 
650 7 |a Representations of algebras  |2 fast 
650 7 |a Algebraische Geometrie  |2 gnd 
650 7 |a Darstellungstheorie  |2 gnd 
650 7 |a Algebra  |2 gnd 
650 7 |a Kommutative Algebra  |2 gnd 
650 7 |a Dimension n  |2 gnd 
650 1 7 |a Algebraïsche meetkunde.  |2 gtt 
650 1 7 |a Representatie (wiskunde)  |2 gtt 
650 7 |a Géométrie algébrique  |x Congrès.  |2 ram 
650 7 |a Représentations d'algèbres  |x Congrès.  |2 ram 
650 7 |a Algèbres commutatives  |x Congrès.  |2 ram 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Martsinkovsky, A.  |q (Alex) 
700 1 |a Todorov, G.  |q (Gordana) 
700 1 |a Auslander, Maurice. 
711 2 |a Maurice Auslander Memorial Conference  |d (1995 :  |c Brandeis University) 
830 0 |a London Mathematical Society lecture note series ;  |v 238. 
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