Indecomposable cycles and arithmetic normal functions
We give conditions to determine if a cycle is indecomposable in the higher Chow group CH r ( X , m ; Q ) , for X a complex smooth projective variety. We show that the primitive part of topological invariant associated with an arithmetic normal function of a cycle is related to its decomposability.
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| Veröffentlicht in: | Boletín de la Sociedad Matemática Mexicana 2018-04, Vol.24 (1), p.61-79 |
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| container_issue | 1 |
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| container_title | Boletín de la Sociedad Matemática Mexicana |
| container_volume | 24 |
| creator | Castillo, José Jaime Hernández |
| description | We give conditions to determine if a cycle is indecomposable in the higher Chow group
CH
r
(
X
,
m
;
Q
)
, for
X
a complex smooth projective variety. We show that the primitive part of topological invariant associated with an arithmetic normal function of a cycle is related to its decomposability. |
| doi_str_mv | 10.1007/s40590-016-0146-2 |
| format | Article |
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CH
r
(
X
,
m
;
Q
)
, for
X
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| ispartof | Boletín de la Sociedad Matemática Mexicana, 2018-04, Vol.24 (1), p.61-79 |
| issn | 1405-213X 2296-4495 |
| language | eng |
| recordid | cdi_proquest_journals_2012608888 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Arithmetic Mathematics Mathematics and Statistics Original Article |
| title | Indecomposable cycles and arithmetic normal functions |
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