scientific article; zbMATH DE number 1538131

zbMath1004.14003MaRDI QIDQ4518992

Fumio Hazama

Publication date: 2 February 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

complex multiplicationhyperplane arrangementsHodge conjectureHodge cycleHodge groupVarchenko matrixHodge ring\(N\)-dominated abelian varieties

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Complex multiplication and abelian varieties (14K22) Subvarieties of abelian varieties (14K12) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

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On the general Hodge conjecture for abelian varieties of CM-type, The index of degeneracy of a CM abelian variety can be arbitrarily large, On Galois representations for abelian varieties with complex and real multiplications., On the index of degeneracy of a CM abelian variety, CM-types with large index of degeneracy, General Hodge conjecture for abelian varieties of CM-type.