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Cohomology relative to a system of closed forms on the torus
Author(s) -
Dattori da Silva P. L.,
Meziani A.
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500293
Subject(s) - mathematics , torus , cohomology , diophantine equation , pure mathematics , complex torus , differential (mechanical device) , algebra over a field , geometry , engineering , aerospace engineering
To a system of closed one‐forms on the torus, we associate a differential complex and compute the induced cohomology groups provided that a related matrix satisfies a Diophantine condition.