Geodesic
Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 26-42.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: iterated Laurent series over a ring, higher-dimensional Contou-Carrère symbol, continuous automorphisms. 
@article{FAA_2016_50_4_a3,
     author = {S. O. Gorchinskiy and D. V. Osipov},
     title = {Higher-dimensional {Contou-Carr\`ere} symbol and continuous automorphisms},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {26--42},
     publisher = {mathdoc},
     volume = {50},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a3/}
}
TY  - JOUR
AU  - S. O. Gorchinskiy
AU  - D. V. Osipov
TI  - Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2016
SP  - 26
EP  - 42
VL  - 50
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a3/
LA  - ru
ID  - FAA_2016_50_4_a3
ER  - 
%0 Journal Article
%A S. O. Gorchinskiy
%A D. V. Osipov
%T Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2016
%P 26-42
%V 50
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a3/
%G ru
%F FAA_2016_50_4_a3
S. O. Gorchinskiy; D. V. Osipov. Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 26-42. http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a3/

[1] G. Anderson, F. Pablos Romo, “Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an Artinian local ring”, Comm. Algebra, 32:1 (2004), 79–102 | DOI | MR | Zbl

[2] C. Contou-Carrère, “Jacobienne locale, groupe de bivecteurs de Witt universel, et symbole modéré”, C. R. Acad. Sci. Paris Sér. I Math., 318:8 (1994), 743–746 | MR | Zbl

[3] C. Contou-Carrère, “Jacobienne locale d'une courbe formelle relative”, Rend. Semin. Mat. Univ. Padova, 130 (2013), 1–106 | DOI | MR | Zbl

[4] P. Deligne, “Le symbole modéré”, Publ. Math. IHES, 73 (1991), 147–181 | DOI | MR | Zbl

[5] S. O. Gorchinskii, D. V. Osipov, “Yavnaya formula dlya mnogomernogo simvola Kontu-Karrera”, UMN, 70:1(421) (2015), 183–184 | DOI | MR | Zbl

[6] S. O. Gorchinskii, D. V. Osipov, “Kasatelnoe prostranstvo k $K$-gruppam Milnora kolets”, Trudy MIAN, 290 (2015), 34–42 | DOI | Zbl

[7] S. O. Gorchinskii, D. V. Osipov, “Mnogomernyi simvol Kontu-Karrera: lokalnaya teoriya”, Matem. sb., 206:9 (2015), 21–98 | DOI | MR | Zbl

[8] S. O. Gorchinskii, D. V. Osipov, “Nepreryvnye gomomorfizmy mezhdu algebrami iterirovannykh ryadov Lorana nad koltsom”, Trudy MIAN, 294 (2016), 54–75 | DOI | MR | Zbl

[9] D. Grayson, “Higher algebraic K-theory. II (after Daniel Quillen)”, Algebraic K-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), Lecture Notes in Math., 551, Springer-Verlag, Berlin, 1976, 217–240 | DOI | MR

[10] K. Kato, “A generalization of local class field theory by using K-groups. II”, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 27:3 (1980), 603–683 | MR | Zbl

[11] Denis Osipov, Xinwen Zhu, “The two-dimensional Contou-Carrère symbol and reciprocity laws”, J. Algebraic Geom., 25 (2016), 703–774 | DOI | MR | Zbl

[12] A. N. Parshin, “Lokalnaya teoriya polei klassov”, Trudy MIAN, 165 (1984), 143–170 | MR | Zbl

[13] A. Yekutieli, “An explicit construction of the Grothendieck residue complex. With an appendix by P. Sastry”, Astérisque, 208 (1992) | MR | Zbl