We describe periods of irreducible holomorphic symplectic manifolds of K3[n]K3[n]-type with a non-symplectic automorphism of prime order p≥3p≥3. These turn out to lie on complex ball quotients and we are able to give a precise characterization of when the period map is bijective by introducing the notion of K(T)K(T)-generality.
Complex ball quotients from manifolds of K3^[n]-type / S. Boissière, C. Camere, A. Sarti. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 223:3(2019 Mar), pp. 1123-1138. [10.1016/j.jpaa.2018.05.017]
Complex ball quotients from manifolds of K3^[n]-type
C. Camere
;
2019-03
Abstract
We describe periods of irreducible holomorphic symplectic manifolds of K3[n]K3[n]-type with a non-symplectic automorphism of prime order p≥3p≥3. These turn out to lie on complex ball quotients and we are able to give a precise characterization of when the period map is bijective by introducing the notion of K(T)K(T)-generality.
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