Note on conjectures of Beilinson-Bloch-Kato¶for cycle classes

2000 ◽  
Vol 101 (1) ◽  
pp. 115-124 ◽  
Author(s):  
N. Otsubo
Keyword(s):  
2008 ◽  
Vol 115 (7) ◽  
pp. 1235-1245 ◽  
Author(s):  
Marcel Herzog ◽  
Gil Kaplan ◽  
Arieh Lev

2014 ◽  
Vol 1 (3) ◽  
pp. 290-310 ◽  
Author(s):  
Spencer Bloch ◽  
Hélène Esnault ◽  
Moritz Kerz

Author(s):  
Jeffrey D. Achter ◽  
Sebastian Casalaina-Martin ◽  
Charles Vial

AbstractFor a complex projective manifold, Walker has defined a regular homomorphism lifting Griffiths’ Abel–Jacobi map on algebraically trivial cycle classes to a complex abelian variety, which admits a finite homomorphism to the Griffiths intermediate Jacobian. Recently Suzuki gave an alternate, Hodge-theoretic, construction of this Walker Abel–Jacobi map. We provide a third construction based on a general lifting property for surjective regular homomorphisms, and prove that the Walker Abel–Jacobi map descends canonically to any field of definition of the complex projective manifold. In addition, we determine the image of the l-adic Bloch map restricted to algebraically trivial cycle classes in terms of the coniveau filtration.


2016 ◽  
Vol 26 (1) ◽  
pp. 43-106 ◽  
Author(s):  
Mihai Fulger ◽  
Brian Lehmann
Keyword(s):  

2016 ◽  
Vol 165 (16) ◽  
pp. 3147-3187 ◽  
Author(s):  
Brian Lehmann
Keyword(s):  

2013 ◽  
Vol 195 (3) ◽  
pp. 673-722 ◽  
Author(s):  
Spencer Bloch ◽  
Hélène Esnault ◽  
Moritz Kerz

Author(s):  
A. Beukemann ◽  
W. E. Klee

AbstractCycle class sequences are introduced as topological invariants of crystal structures. A cycle class is a class of translationally equivalent cycles, and a cycle class sequence is a sequence of numbers


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