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math.AG2013
De la Pureté locale à la décomposition
Fouad Elzein, Lê Dung Trang
The decomposition theorem is deduced from local purity.
math.AG2013
Du théoréme de décomposition á la Pureté locale
Fouad Elzein, Lê Dung Trang
A new proof of the decomposition theorem is established using a relation with a version of the local purity theorem of Deligne and Gabber adapted to complex algebraic varieties.