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Irreducible holomorphic symplectic manifolds and monodromy operators

One of the most important tools to study the geometry of irreducible holomorphic symplectic manifolds is the monodromy group. The first part of this dissertation concerns the construction and studyof monodromy operators on irreducible holomorphic symplectic manifolds which are deformation equivalent to the 10-dimensional example constructed by O'Grady. The second part uses the knowledge of the monodromy group to compute the number of connected components of moduli spaces of bothmarked and polarised irreducible holomorphic symplectic manifolds which are deformationequivalent to generalised Kummer varieties.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:767583
Date January 2018
CreatorsOnorati, Claudio
ContributorsSankaran, Gregory
PublisherUniversity of Bath
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation

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