Birational geometry of irreducible holomorphic symplectic tenfolds of O’Grady type

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.

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Bibliographic Details
Published inMathematische Zeitschrift Vol. 300; no. 4; pp. 3497 - 3526
Main Authors Mongardi, Giovanni, Onorati, Claudio
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2022
Springer Nature B.V
Subjects
Dimensional analysis
Mathematics
Mathematics and Statistics
14E30
Intermediate Jacobians
14J40
O’Grady tenfold
Lagrangian fibration
14D05
Ample cone
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Summary: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-021-02966-6