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Motives and the Hodge conjecture for moduli spaces of pairs
Let C be a smooth projective curve of genus g ≥ 2 over C. Fix n ≥ 1, d ∈ Z.A pair (E, φ) over C consists of an algebraic vector bundle E of rank n and degree d over C and a section φ ∈ H 0 (E).There is …