Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
Giovanni Mongardi, Claudio Onorati
TL;DR
This paper investigates the birational geometry of O'Grady ten-dimensional manifolds, characterizing Kähler classes and Lagrangian fibrations, and explores symplectic compactifications of intermediate Jacobian fibrations of cubic fourfolds.
Contribution
It provides a detailed analysis of the birational properties of O'Grady tenfolds and introduces new insights into their Kähler and Lagrangian structures.
Findings
Characterization of Kähler classes on O'Grady tenfolds
Description of Lagrangian fibrations in this context
Construction of symplectic compactifications of Jacobian fibrations
Abstract
In this paper we analyse the birational geometry of O'Grady ten dimensional manifolds, giving a characterisation of Kaehler classes and lagrangian fibrations. Moreover, we study symplectic compactifications of intermediate jacobian fibrations of smooth cubic fourfolds.
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