Zero cycles and the Euler class groups of smooth real affine varieties

1999 ◽  
Vol 136 (2) ◽  
pp. 287-322 ◽  
Author(s):  
S. M. Bhatwadekar ◽  
Raja Sridharan
Keyword(s):  
Euler Class ◽  
Class Groups ◽  
Real Affine

scholarly journals On invariance of the Euler class groups under a subintegral base change

2014 ◽  
Vol 398 ◽  
pp. 131-155 ◽  
Author(s):  
Mrinal Kanti Das ◽  
Md. Ali Zinna
Keyword(s):  
Euler Class ◽  
Base Change ◽  
Class Groups

scholarly journals Euler class groups and motivic stable cohomotopy

2021 ◽  
Author(s):  
Aravind Asok ◽  
Jean Fasel ◽  
Mrinal Kanti Das
Keyword(s):  
Euler Class ◽  
Class Groups ◽  
Stable Cohomotopy

scholarly journals Local coefficients and Euler class groups

2009 ◽  
Vol 322 (12) ◽  
pp. 4295-4330 ◽  
Author(s):  
Satya Mandal ◽  
Albert J.L. Sheu
Keyword(s):  
Euler Class ◽  
Class Groups ◽  
Local Coefficients

Euler class groups and 2-torsion elements

2014 ◽  
Vol 218 (1) ◽  
pp. 112-120 ◽  
Author(s):  
S.M. Bhatwadekar ◽  
J. Fasel ◽  
S. Sane
Keyword(s):  
Euler Class ◽  
Class Groups

scholarly journals Euler class groups and a theorem of Roitman

2011 ◽  
Vol 215 (6) ◽  
pp. 1340-1347 ◽  
Author(s):  
Mrinal Kanti Das ◽  
Raja Sridharan
Keyword(s):  
Euler Class ◽  
Class Groups

Serre dimension and Euler class groups of overrings of polynomial rings

2017 ◽  
Vol 9 (2) ◽  
pp. 213-242
Author(s):  
Manoj K. Keshari ◽  
Husney Parvez Sarwar
Keyword(s):  
Euler Class ◽  
Polynomial Rings ◽  
Class Groups

scholarly journals Revisiting Nori's question and homotopy invariance of Euler class groups

2010 ◽  
Vol 8 (3) ◽  
pp. 451-480 ◽  
Author(s):  
Mrinal Kanti Das
Keyword(s):  
Class Group ◽  
Euler Class ◽  
Noetherian Rings ◽  
Projective Modules ◽  
Class Groups ◽  
Homotopy Invariance ◽  
Smoothness Assumption ◽  
Polynomial Extension ◽  
Euler Class Group ◽  
Smooth Affine

AbstractThis paper examines the relation between the Euler class group of a Noetherian ring and the Euler class group of its polynomial extension. When the ring is a smooth affine domain, the two groups are canonically isomorphic. This is a consequence of a theorem of Bhatwadekar-Sridharan, which they proved in order to answer a question of Nori on sections of projective modules over such rings. If the smoothness assumption is removed, the result of Bhatwadekar-Sridharan is no longer valid and also the Euler class groups above are not in general isomorphic. In this paper we investigate a variant of Nori's question for arbitrary Noetherian rings and derive several consequences to understand the relation between various groups in the theory of Euler classes.

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