2020-07-08Zeitschriftenartikel DOI: 10.18452/27787
Summands of theta divisors on Jacobians
We show that the only summands of the theta divisor on Jacobians of curves and on intermediate Jacobians of cubic threefolds are the powers of the curve and the Fano surface of lines on the threefold. The proof only uses the decomposition theorem for perverse sheaves, some representation theory and the notion of characteristic cycles.
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