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

Samuel Boissière; Chiara Camere; Alessandra Sarti

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

Algebraic Geometry 2015-12-08 v1

Authors: Samuel Boissière , Chiara Camere , Alessandra Sarti

Abstract

We describe periods of irreducible holomorphic manifolds of $K3^{[n]}$ -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

complex ball quotients K3^{[n]}-type manifolds irreducible holomorphic manifolds non-symplectic automorphism period map K(T)-generality prime order

Cite

@article{arxiv.1512.02067,
  title  = {Complex ball quotients from manifolds of $K3^{[n]}$-type},
  author = {Samuel Boissière and Chiara Camere and Alessandra Sarti},
  journal= {arXiv preprint arXiv:1512.02067},
  year   = {2015}
}

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16 pages

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

Abstract

Keywords

Cite

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