Singular homology and class field theory of varieties over finite fields

Alexander Schmidt, M. Spieß

Type: Article

Publication Date: 2000-01-20

Citations: 31

DOI: https://doi.org/10.1515/crll.2000.079

Abstract

Article Singular homology and class field theory of varieties over finite fields was published on October 20, 2000 in the journal Journal für die reine und angewandte Mathematik (volume 2000, issue 527).

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
Journal für die reine und angewandte Mathematik (Crelles Journal) - View

Similar Works

Action	Title	Year	Authors
+	CHARACTERISTIC CLASSES AND SINGULAR VARIETIES	2014	Jean‐Paul Brasselet Cnrs Marseille
+	Singular Varieties over Finite Fields	2002	Sudhir R. Ghorpade Gilles Lachaud
+ PDF Chat	Singular homology of abstract algebraic varieties	1996	Andrei Suslin Vladimir Voevodsky
+	Characteristic Classes of Singular Varieties	2005	Paolo Aluffi
+	Characteristic classes of singular varieties	2001	Tatsuo Suwa
+	Characteristic classes for singular varieties	1987	昭治與倉
+	Characteristic classes for singular varieties	1987	Shoji Yokura
+ PDF Chat	Floer homology and singular knots	2009	Peter Ozsváth András I. Stipsicz Zoltán Szabó
+	Singular Homology	1972	Albrecht Dold
+	Singular homology	2007	V. Prasolov
+	Singular homology	2021
+	Singular homology	2022
+ PDF Chat	Singular homology	2021	Dmitry N. Kozlov
+	Singular Algebraic Curves	2018	Gert–Martin Greuel Christoph Lossen Eugeniĭ Shustin
+	Singular Cohomology Groups	1962	R. J. Nunke Joseph Rotman
+	Singular Homology and Cohomology	2022
+	Singular homology and applications	2015	Jason R. Wilson
+	Chern Classes for Singular Algebraic Varieties	1974	Robert MacPherson
+	Divisor class groups of singular varieties	2020	Helmut A. Hamm
+	Singular Varieties	2008

Works That Cite This (27)

Action	Title	Year	Authors
+ PDF Chat	Singular homology of arithmetic schemes	2007	Alexander Schmidt
+ PDF Chat	On the Albanese map for smooth quasi-projective varieties	2003	Michael Spieß Tamás Szamuely
+	On the quasi-group of a cubic surface over a finite field	2012	Andreas-Stephan Elsenhans Jörg Jahnel
+ PDF Chat	Covering data and higher dimensional global class field theory	2009	Moritz Kerz Alexander Schmidt
+	Motivic homology and class field theory over p-adic fields	2015	Mecit Kerem Uzun
+ PDF Chat	Voevodsky’s motives and Weil reciprocity	2013	Bruno Kahn Takao Yamazaki
+ PDF Chat	Ideles in Higher Dimension	2011	Moritz Kerz
+ PDF Chat	Higher class field theory and the connected component	2011	Moritz Kerz
+	Higher class field theory and the connected component	2007	Moritz Kerz
+ PDF Chat	Tame class field theory for singular varieties over algebraically closed fields	2016	Thomas Geisser Alexander Schmidt

Works Cited by This (18)

Action	Title	Year	Authors
+ PDF Chat	The Tame Fundamental Group of a Formal Neighbourhood of a Divisor with Normal Crossings on a Scheme	1971	Alexander Grothendieck Jacob P. Murre
+ PDF Chat	Gersten's conjecture and the homology of schemes	1974	Spencer Bloch Arthur Ogus
+	Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients	2000	Andrei Suslin Vladimir Voevodsky
+	Unramified Class Field Theory of Arithmetical Schemes	1985	Shuji Saito
+	Introduction to Algebraic Geometry.	1960	Alice T. Schafer Serge Lang
+	Torsion dans le groupe de Chow de codimension deux	1983	Jean-Louis Colliot-Thélène Jean-Jacques Sansuc Christophe Soulé
+	MilnorK-theory is the simplest part of algebraicK-theory	1992	Burt Totaro
+ PDF Chat	Singular homology of abstract algebraic varieties	1996	Andrei Suslin Vladimir Voevodsky
+	Algebraic cycles and higher K-theory	1986	Spencer Bloch
+	Bertini theorems for hypersurface sections containing a subscheme	1979	Steven L. Kleiman Allen Altman