Non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Malek Joumaah

Research Organisations

View graph of relations

Details

Original languageEnglish
Pages (from-to)761-790
Number of pages30
JournalMathematische Zeitschrift
Volume283
Issue number3-4
Early online date20 Jan 2016
Publication statusPublished - Aug 2016

Abstract

This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. We will give a criterion for deformation equivalence and use this to give a lattice-theoretic description of all deformation types. While moduli spaces of K3[ n ]-type manifolds with non-symplectic involutions are not necessarily Hausdorff, we will construct quasi-projective moduli spaces for a certain well-behaved class of such pairs.

Cite this

Non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. / Joumaah, Malek.
In: Mathematische Zeitschrift, Vol. 283, No. 3-4, 08.2016, p. 761-790.

Research output: Contribution to journalArticleResearchpeer review

Joumaah M. Non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. Mathematische Zeitschrift. 2016 Aug;283(3-4):761-790. Epub 2016 Jan 20. doi: 10.48550/arXiv.1403.0554, 10.1007/s00209-016-1620-2
Download
@article{ae91bc800b1742aa84a43a00bc9e47a4,
title = "Non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type",
abstract = "This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. We will give a criterion for deformation equivalence and use this to give a lattice-theoretic description of all deformation types. While moduli spaces of K3[ n ]-type manifolds with non-symplectic involutions are not necessarily Hausdorff, we will construct quasi-projective moduli spaces for a certain well-behaved class of such pairs.",
author = "Malek Joumaah",
year = "2016",
month = aug,
doi = "10.48550/arXiv.1403.0554",
language = "English",
volume = "283",
pages = "761--790",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "3-4",

}

Download

TY - JOUR

T1 - Non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type

AU - Joumaah, Malek

PY - 2016/8

Y1 - 2016/8

N2 - This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. We will give a criterion for deformation equivalence and use this to give a lattice-theoretic description of all deformation types. While moduli spaces of K3[ n ]-type manifolds with non-symplectic involutions are not necessarily Hausdorff, we will construct quasi-projective moduli spaces for a certain well-behaved class of such pairs.

AB - This paper is concerned with non-symplectic involutions of irreducible symplectic manifolds of K3[ n ]-type. We will give a criterion for deformation equivalence and use this to give a lattice-theoretic description of all deformation types. While moduli spaces of K3[ n ]-type manifolds with non-symplectic involutions are not necessarily Hausdorff, we will construct quasi-projective moduli spaces for a certain well-behaved class of such pairs.

UR - http://www.scopus.com/inward/record.url?scp=84954544990&partnerID=8YFLogxK

U2 - 10.48550/arXiv.1403.0554

DO - 10.48550/arXiv.1403.0554

M3 - Article

AN - SCOPUS:84954544990

VL - 283

SP - 761

EP - 790

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 3-4

ER -