@article{CM_1991__79_2_157_0,
author = {Kuzumaki, Takako},
title = {The cohomological dimension of the quotient field of the two dimensional complete local domain},
journal = {Compositio Mathematica},
pages = {157--167},
year = {1991},
publisher = {Kluwer Academic Publishers},
volume = {79},
number = {2},
mrnumber = {1117338},
zbl = {0731.13010},
language = {en},
url = {https://www.numdam.org/item/CM_1991__79_2_157_0/}
}
TY - JOUR AU - Kuzumaki, Takako TI - The cohomological dimension of the quotient field of the two dimensional complete local domain JO - Compositio Mathematica PY - 1991 SP - 157 EP - 167 VL - 79 IS - 2 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1991__79_2_157_0/ LA - en ID - CM_1991__79_2_157_0 ER -
%0 Journal Article %A Kuzumaki, Takako %T The cohomological dimension of the quotient field of the two dimensional complete local domain %J Compositio Mathematica %D 1991 %P 157-167 %V 79 %N 2 %I Kluwer Academic Publishers %U https://www.numdam.org/item/CM_1991__79_2_157_0/ %G en %F CM_1991__79_2_157_0
Kuzumaki, Takako. The cohomological dimension of the quotient field of the two dimensional complete local domain. Compositio Mathematica, Tome 79 (1991) no. 2, pp. 157-167. https://www.numdam.org/item/CM_1991__79_2_157_0/
[1] ; Resolution of singularities for arithmetical surfaces. In Arithmetical Algebraic Geometry, New York: Harper and Row, (1963), 111-152. | Zbl | MR
[2] ; Dimension cohomologique: Premiers résultats, in SGA 4, Tome 3, Lecture Notes in Mathematics 305, (1973), 43-63. | Zbl
[3] and ; p-adic étale coholology. Publ. Math. I.H.E.S. 63 (1986) 107-152. | Zbl | MR | Numdam
[4] ; A lecture at I.H.E.S. on March in 1981.
[5] ; Desingularization of excellent surface. Lecture at Advanced Seminar in Algebraic Geometry, Bowdoin College, Summer 1967, notes by Bruce Bennett.
[6] ; A generalization of local class field theory by using K-groups, I. J. fac. Sci. Univ. Tokyo Sec. IA 26 (1979) 303-376: II Ibid 27 (1980) 602-683: III ibid 29 (1982) 31-34. | Zbl | MR
[7] ; Galois cohomology of complete discrete valuation fields. Lecture Notes in Mathematics 967 (1982) 215-238. | Zbl | MR
[8] and ; The dimension of fields and algebraic K-theory. Journal of Number Theory Vol. 24 No. 2 (1986) 229-244. | Zbl | MR
[9] ; Commutative Algebra. W. A. Benjamin Co., New York 2nd ed. (1980). | MR
[10] and ; K-cohomology of Severi-Brauer variety and norm residue homomorphism. Math. USSA-Izv. 21 (1984) 307-340. | Zbl
[11] ; Introduction to algebraic K-theory. Ann. Math. Stud. 72 (1971). | Zbl | MR
[12] ; Arithmetic on two dimensional local rings. Invent. Math. 85 (1986) 379-414. | Zbl | MR | EuDML
[13] ; Profinite groups, arithmetic and geometry. Ann. Math. Stud. 67 (1972). | Zbl | MR
[14] ; Cohomologie Galoisienne. Lecture Notes in Mathematics 5 (1965). | Zbl | MR
[15] ; Sur la dimension cohomologique des groupes profinis. Topology 3 (1965) 413-420. | Zbl | MR






