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Complex ball quotients from manifolds of K3^[n]-type

Authors:	Samuel Boissière Chiara Camere Alessandra Sarti

Institution:	1. Université de Poitiers, Laboratoire de Mathématiques et Applications UMR CNRS 7348, Téléport 2 Boulevard Marie et Pierre Curie BP 30179, 86962 Futuroscope Chasseneuil Cedex, France;2. Università degli Studi di Milano, Dipartimento di Matematica, Via Cesare Saldini 50, 20133 Milano, Italy

Abstract:	We describe periods of irreducible holomorphic symplectic manifolds of $K 3^{n]}$ -type with a non-symplectic automorphism of prime order $p \geq 3$ . 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 $K (T)$ -generality.

Keywords:	14J50 14J10 32G13
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