Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type
Giovanni Mongardi, Claudio Onorati
2022Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)18 citationsDOIOpen Access PDF
Abstract
In this paper, we analyse the birational geometry of O’Grady ten dimensional manifolds, giving a characterization of Kähler classes and lagrangian fibrations. Moreover, we study symplectic compactifications of intermediate jacobian fibrations of smooth cubic fourfolds.
Topics & Concepts
Symplectic geometryMathematicsHolomorphic functionPure mathematicsLagrangianType (biology)Characterization (materials science)Birational geometryJacobian matrix and determinantGeometryAlgebra over a fieldPhysicsApplied mathematicsBiologyEcologyOpticsAlgebraic Geometry and Number TheoryGeometry and complex manifoldsGeometric Analysis and Curvature Flows