Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds
Capitolo di libro
Data di Pubblicazione:
2020
Citazione:
Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds / C. Camere (SPRINGER INDAM SERIES). - In: Birational Geometry and Moduli Spaces / [a cura di] E. Colombo, B. Fantechi, P. Frediani, D. Iacono, R. Pardini. - Prima edizione. - [s.l] : Springer, 2020. - ISBN 978-3-030-37113-5. (( convegno Indam Workshop "Birational Geometry and Moduli Spaces" tenutosi a Roma nel 2018 [10.1007/978-3-030-37114-2_2].
Abstract:
In this survey, based on joint work of the author and S. Boissière and A. Sarti, we will describe an isomorphism between the moduli space of smooth cubic threefolds, as described by Allcock, Carlson and Toledo, and the moduli space of fourfolds of K3[2]-type with a special non-symplectic automorphism of order three; then, I will show some consequences of this isomorphism concerning degenerations of non-symplectic automorphisms. Finally we will explore possible generalizations of the problem to higher dimensions and other moduli spaces of cubic threefolds.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Irreducible holomorphic symplectic manifold; Hyperkähler manifold; Non-symplectic automorphism; Ball quotient; Cubic threefold; Moduli space of cubic threefold; Occult period map; Pfaffian cubic threefold; Degeneration of irreducible holomorphic symplectic manifold; Degeneration of automorphism; Fano variety of a cubic fourfold;
Elenco autori:
C. Camere
Link alla scheda completa:
Titolo del libro:
Birational Geometry and Moduli Spaces