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  Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds

Camere, C. (2020). Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds. In Birational geometry and moduli spaces (pp. 13-27). Cham: Springer.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-0D41-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-0D42-2
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Camere_Moduli spaces of cubic threefolds and of irreducible holomorphic symplectic manifolds_2020.pdf (Publisher version), 440KB
 
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https://doi.org/10.1007/978-3-030-37114-2_2 (Publisher version)
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Camere, Chiara1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 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.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 15
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/978-3-030-37114-2_2
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Title: Birational geometry and moduli spaces
Source Genre: Book
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Publ. Info: Cham : Springer
Pages: ix, 200 S. Volume / Issue: - Sequence Number: - Start / End Page: 13 - 27 Identifier: ISBN: 978-3-030-37114-2
ISBN: 978-3-030-37113-5

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Title: Springer INdAM series
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Pages: - Volume / Issue: 39 Sequence Number: - Start / End Page: - Identifier: -