• Automorphisms of O'Grady's sixfolds

Grossi, Annalisa

Subject

MAT/03 Geometria

Description

We study automorphisms of irreducible holomorphic symplectic (IHS) manifolds deformation equivalent to the O’Grady’s sixfold. We classify non-symplectic and symplectic automorphisms using lattice theoretic criterions related to the lattice structure of the second integral cohomology. Moreover we introduce the concept of induced automorphisms. There are two birational models for O'Grady's sixfolds, the first one introduced by O'Grady, which is the resolution of singularities of the Albanese fiber of a moduli space of sheaves on an abelian surface, the second one which concerns in the quotient of an Hilbert cube by a symplectic involution. We find criterions to know when an automorphism is induced with respect to these two different models, i.e. it comes from an automorphism of the abelian surface or of the Hilbert cube.

Date

2020-04-03

Type

Tesi di dottorato

NonPeerReviewed

Format

application/pdf

Identifier

urn:nbn:it:unibo-26115

Grossi, Annalisa (2020) Automorphisms of O'Grady's sixfolds, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 32 Ciclo.

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