Sinossi
In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
Dr. Wilfried Hulsbergen is teaching at the KMA, Breda,Niederlande.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Altre edizioni note dello stesso titolo
Risultati della ricerca per Conjectures in Arithmetic Algebraic Geometry: A Survey:...
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry: A Survey (Aspects of Mathematics)
Da: Lucky's Textbooks, Dallas, TX, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo ABLIING23Mar3113020321989
Compra nuovo
EUR 75,64
Spese di spedizione:
EUR 3,43
In U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry: A Survey (Aspects of Mathematics)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In. Codice articolo ria9783663095071_new
Compra nuovo
EUR 69,44
Spese di spedizione:
EUR 13,62
Da: Regno Unito a: U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry : A Survey
Da: Chiron Media, Wallingford, Regno Unito
Valutazione del venditore 4 su 5 stelle
PF. Condizione: New. Codice articolo 6666-IUK-9783663095071
Compra nuovo
EUR 68,10
Spese di spedizione:
EUR 17,61
Da: Regno Unito a: U.S.A.
Quantità: 10 disponibili
Immagini fornite dal venditore
Conjectures in Arithmetic Algebraic Geometry
Editore:
Vieweg+Teubner, Vieweg+Teubner Verlag Okt 2013, 2013
ISBN 10: 366309507X
ISBN 13: 9783663095071
Nuovo
Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this expository text we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued math ematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to introduce L functions, the main, motivation being the calculation of class numbers. In partic ular, Kummer showed that the class numbers of cyclotomic fields play a decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirichlet had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by properties of L-functions. Twentieth century number theory, class field theory and algebraic geome try only strengthen the nineteenth century number theorists's view. We just mention the work of E. H~cke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generalization of Dirichlet's L-functions with a generalization of class field theory to non-abelian Galois extensions of number fields in mind. 246 pp. Englisch. Codice articolo 9783663095071
Compra nuovo
EUR 74,89
Spese di spedizione:
EUR 23,00
Da: Germania a: U.S.A.
Quantità: 2 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry
Da: Books Puddle, New York, NY, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. pp. 256 2nd Edition. Codice articolo 26142295493
Compra nuovo
EUR 99,44
Spese di spedizione:
EUR 3,43
In U.S.A.
Quantità: 4 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry
Print on DemandDa: Majestic Books, Hounslow, Regno Unito
Valutazione del venditore 4 su 5 stelle
Condizione: New. Print on Demand pp. 256 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. Codice articolo 135069210
Compra nuovo
EUR 104,46
Spese di spedizione:
EUR 7,39
Da: Regno Unito a: U.S.A.
Quantità: 4 disponibili
Immagini fornite dal venditore
Conjectures in Arithmetic Algebraic Geometry
Print on DemandDa: moluna, Greven, Germania
Valutazione del venditore 4 su 5 stelle
Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Dr. Wilfried Hulsbergen is teaching at the KMA, Breda,Niederlande.In the early 1980 s, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fiel. Codice articolo 5230911
Compra nuovo
EUR 64,33
Spese di spedizione:
EUR 48,99
Da: Germania a: U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry
Print on DemandDa: Biblios, Frankfurt am main, HESSE, Germania
Valutazione del venditore 4 su 5 stelle
Condizione: New. PRINT ON DEMAND pp. 256. Codice articolo 18142295503
Compra nuovo
EUR 105,73
Spese di spedizione:
EUR 9,95
Da: Germania a: U.S.A.
Quantità: 4 disponibili
Foto dell'editore
Conjectures in Arithmetic Algebraic Geometry: A Survey (Aspects of Mathematics)
Da: Revaluation Books, Exeter, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Brand New. 2nd edition. 256 pages. 9.69x6.69x0.63 inches. In Stock. Codice articolo x-366309507X
Compra nuovo
EUR 112,07
Spese di spedizione:
EUR 11,37
Da: Regno Unito a: U.S.A.
Quantità: 2 disponibili
Immagini fornite dal venditore
Conjectures in Arithmetic Algebraic Geometry
Editore:
Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Okt 2013, 2013
ISBN 10: 366309507X
ISBN 13: 9783663095071
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this expository text we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued math ematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to introduce L functions, the main, motivation being the calculation of class numbers. In partic ular, Kummer showed that the class numbers of cyclotomic fields play a decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirichlet had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions. Another prominent appearance of an L-function is Riemann's paper where the now famous Riemann Hypothesis was stated. In short, nineteenth century number theory showed that much, if not all, of number theory is reflected by properties of L-functions. Twentieth century number theory, class field theory and algebraic geome try only strengthen the nineteenth century number theorists's view. We just mention the work of E. H~cke, E. Artin, A. Weil and A. Grothendieck with his collaborators. Heeke generalized Dirichlet's L-functions to obtain results on the distribution of primes in number fields. Artin introduced his L-functions as a non-abelian generalization of Dirichlet's L-functions with a generalization of class field theory to non-abelian Galois extensions of number fields in mind.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 256 pp. Englisch. Codice articolo 9783663095071
Compra nuovo
EUR 74,89
Spese di spedizione:
EUR 60,00
Da: Germania a: U.S.A.
Quantità: 1 disponibili