Volume 3 (2000)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

Higher dimensional local fields and L–functions

A N Parshin

Geometry & Topology Monographs 3 (2000) 199–213

DOI: 10.2140/gtm.2000.3.199

Bibliography
1 A A Beĭlinson, Residues and adèles, Funktsional. Anal. i Prilozhen. 14 (1980) 44–45 MR565095
2 G Birkhoff, Lattice theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society (1967) MR0227053
3 N Bourbaki, Éléments de mathématique. Fascicule XXIX. Livre VI: Intégration. Chapitre 7: Mesure de Haar. Chapitre 8: Convolution et représentations, Actualités Scientifiques et Industrielles 1306, Hermann (1963) MR0179291
4 F Bruhat, Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes p -adiques, Bull. Soc. Math. France 89 (1961) 43–75 MR0140941
5 C Deninger, Some analogies between number theory and dynamical systems on foliated spaces, from: "Proceedings of the International Congress of Mathematicians, Vol I (Berlin, 1998)" (1998) 163–186 MR1648030
6 T Fimmel, A N Parshin, Introduction into the higher adelic theory, book in preparation
7 P Deligne, Cohomologie étale, Lecture Notes in Mathematics 569, Springer (1977) MR0463174 Séminaire de Géométrie Algébrique du Bois-Marie SGA 41øer 2, Avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
8 E Hecke, Vorlesungen über die Theorie der algebraischen Zahlen, Akad. Verlag (1923) MR0066417
9 A Huber, On the Parshin–Beĭlinson adèles for schemes, Abh. Math. Sem. Univ. Hamburg 61 (1991) 249–273 MR1138291
10 A N Paršin, On the arithmetic of two-dimensional schemes I: Distributions and residues, Izv. Akad. Nauk SSSR Ser. Mat. 40 (1976) 736–773, 949 MR0419458
11 A N Parshin, Chern classes, adèles and L–functions, J. Reine Angew. Math. 341 (1983) 174–192 MR697316
12 A N Parshin, Higher Bruhat–Tits buildings and vector bundles on an algebraic surface, from: "Algebra and number theory (Essen, 1992)", de Gruyter (1994) 165–192 MR1285366
13 A N Parshin, Lectures at the University Paris-Nord, February–May 1994 and May–June 1996
14 A N Parshin, The Krichever correspondence for algebraic surfaces, Funktsional. Anal. i Prilozhen. 35 (2001) 88–90 MR1840754
15 J P Serre, Zeta and L functions, from: "Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963)", Harper & Row (1965) 82–92 MR0194396
16 J P Serre, Facteurs locaux des fonctions zeta des variétés algébriques (Définitions et conjectures), Séminaire Delange–Pisot–Poitou 1969/70 19
17 J T Tate, Fourier analysis in number fields, and Hecke's zeta-functions, from: "Algebraic Number Theory (Proc Instructional Conf., Brighton, 1965)", Thompson, Washington, D.C. (1967) 305–347 MR0217026
18 A Weil, Basic number theory, Die Grundlehren der mathematischen Wissenschaften 144, Springer New York, New York (1967) MR0234930
19 A Weil, Number-theory and algebraic geometry, from: "Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2", Amer. Math. Soc. (1952) 90–100 MR0045416
20 A Weil, L'intégration dans les groupes topologiques et ses applications, Actual. Sci. Ind. 869, Hermann et Cie., Paris (1940) 158 MR0005741 This book has been republished by the author at Princeton, N. J., 1941.