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Fujiki relations and fibrations of irreducible symplectic varieties. (arXiv:1701.09069v2 [math.AG] UPDATED)

来源于:arXiv
This paper concerns singular, complex projective, irreducible symplectic varieties. The generalized Beauville-Bogomolov form satisfies the Fujiki relations and has the same rank as in the smooth case. As a consequence, we see that these varieties admit only very special fibrations. Our results give new evidence that the correct definition of singular analogs of irreducible symplectic manifolds is the one from Greb-Kebekus-Peternell. 查看全文>>