Local duality for 2-dimensional local ring

被引：0

作者：

Draouil, Belgacem ^{[1
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Jarzouna 7021, Tunisia

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2008年 / 118卷 / 04期

关键词：

Hasse principle; purity; local duality; curves over higher local fields;

D O I：

10.1007/s12044-008-0040-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a local duality for some schemes associated to a 2-dimensional complete local ring whose residue field is an n-dimensional local field in the sense of Kato-Parshin. Our results generalize the Saito works in the case n = 0 and are applied to study the Bloch-Ogus complex for such rings in various cases.

引用

页码：525 / 536

页数：12

共 50 条

[21] Every local ring is dominated by a one-dimensional local ring
Gilmer, R
Heinzer, W
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (09) : 2513 - 2520
[22] INTEGRABILITY AND DUALITY IN 2-DIMENSIONAL QCD
ABDALLA, E
ABDALLA, MCB
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (11): : 1611 - 1640
[23] Duality in 2-dimensional dilaton gravity
Grumiller, D.
Jackiw, R.
PHYSICS LETTERS B, 2006, 642 (5-6) : 530 - 534
[24] Representations of algebraic groups over a 2-dimensional local field
Dennis Gaitsgory
David Kazhdan
Geometric & Functional Analysis GAFA, 2004, 14 : 535 - 574
[25] 2-DIMENSIONAL IC PROCESS SIMULATION INCLUDING LOCAL OXIDATION
STETTLER, JC
WEISS, P
MORET, JM
LUGINBUEHL, H
HELVETICA PHYSICA ACTA, 1986, 59 (01): : 149 - 149
[26] CLASSIFICATION OF 2-DIMENSIONAL SINGULARITIES WITH SOLVABLE LOCAL FUNDAMENTAL GROUPS
KARRAS, U
MATHEMATISCHE ANNALEN, 1975, 213 (03) : 231 - 255
[27] 2-DIMENSIONAL LOCAL MOMENT, SURFACE FITTING AND THEIR FAST COMPUTATION
LI, BC
SHEN, J
PATTERN RECOGNITION, 1994, 27 (06) : 785 - 790
[28] Representations of Algebraic groups over a 2-dimensional local field
Gaitsgory, D
Kazhdan, D
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2004, 14 (03) : 535 - 574
[29] 2-DIMENSIONAL AND LOCAL CHARACTERIZATION OF ASYMPTOTICALLY UNIFORM-DISTRIBUTION
HERRMANN, H
KERSTAN, J
LIESE, F
MATHEMATISCHE NACHRICHTEN, 1979, 89 : 87 - 126
[30] LOCAL AND GLOBAL EXISTENCE OF METRICS IN 2-DIMENSIONAL AFFINE MANIFOLDS
THOMPSON, G
CHINESE JOURNAL OF PHYSICS, 1991, 29 (06) : 529 - 532

← 1 2 3 4 5 →