Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type

In this paper we determine the number of connected components of moduli spaces of both marked and polarised irreducible holomorphic symplectic manifolds deformation equivalent to generalised Kummer varieties

Bibliographic Details
Main Author: Claudio Onorati
Format: Article
Language:English
Published: Sapienza Università Editrice 2022-05-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(4)/251-266.pdf
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author Claudio Onorati
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description In this paper we determine the number of connected components of moduli spaces of both marked and polarised irreducible holomorphic symplectic manifolds deformation equivalent to generalised Kummer varieties
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spelling doaj.art-bfa602a158a542e0bbeecf827a52844b2023-05-23T12:57:03ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502022-05-01433-4251266Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer typeClaudio Onorati0Dipartimento di Matematica, Universit`a degli studi di Roma Tor Vergata, via della Ricerca Scientifica 1, 00133 Roma, ItalyIn this paper we determine the number of connected components of moduli spaces of both marked and polarised irreducible holomorphic symplectic manifolds deformation equivalent to generalised Kummer varietieshttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(4)/251-266.pdfirreducible holomorphic symplectic manifoldsgeneralised kummer varietiesmarked and polarised moduli spacesconnected components
spellingShingle Claudio Onorati
Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
Rendiconti di Matematica e delle Sue Applicazioni
irreducible holomorphic symplectic manifolds
generalised kummer varieties
marked and polarised moduli spaces
connected components
title Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
title_full Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
title_fullStr Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
title_full_unstemmed Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
title_short Connected components of moduli spaces of irreducible holomorphic symplectic manifolds of Kummer type
title_sort connected components of moduli spaces of irreducible holomorphic symplectic manifolds of kummer type
topic irreducible holomorphic symplectic manifolds
generalised kummer varieties
marked and polarised moduli spaces
connected components
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(4)/251-266.pdf
work_keys_str_mv AT claudioonorati connectedcomponentsofmodulispacesofirreducibleholomorphicsymplecticmanifoldsofkummertype