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

2000 ◽  
Vol 101 (1) ◽  
pp. 115-124 ◽  
Author(s):  
N. Otsubo
Keyword(s):  
Cycle Classes

scholarly journals Covering the alternating groups by products of cycle classes

2008 ◽  
Vol 115 (7) ◽  
pp. 1235-1245 ◽  
Author(s):  
Marcel Herzog ◽  
Gil Kaplan ◽  
Arieh Lev
Keyword(s):  
Alternating Groups ◽  
By Products ◽  
Cycle Classes

scholarly journals Deformation of algebraic cycle classes in characteristic zero

2014 ◽  
Vol 1 (3) ◽  
pp. 290-310 ◽  
Author(s):  
Spencer Bloch ◽  
Hélène Esnault ◽  
Moritz Kerz
Keyword(s):  
Characteristic Zero ◽  
Algebraic Cycle ◽  
Cycle Classes

scholarly journals The Walker Abel–Jacobi map descends

2021 ◽  
Author(s):  
Jeffrey D. Achter ◽  
Sebastian Casalaina-Martin ◽  
Charles Vial
Keyword(s):  
Abelian Variety ◽  
Projective Manifold ◽  
Field Of Definition ◽  
Definition Of ◽  
Complex Projective ◽  
Intermediate Jacobian ◽  
Cycle Classes ◽  
Coniveau Filtration

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.

scholarly journals Zariski decompositions of numerical cycle classes

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

scholarly journals Volume-type functions for numerical cycle classes

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

scholarly journals p-adic deformation of algebraic cycle classes

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

Cycle classes as topological invariants of crystal structures

1994 ◽  
Vol 209 (9) ◽  
Author(s):  
A. Beukemann ◽  
W. E. Klee
Keyword(s):  
Crystal Structures ◽  
Topological Invariants ◽  
Cycle Class ◽  
Cycle Classes

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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