Indecomposable cycles and arithmetic normal functions

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
1. Verfasser: Castillo, José Jaime Hernández
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic
Mathematics
Mathematics and Statistics
Original Article
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Zusammenfassung: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.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-016-0146-2