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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Published in | Mathematische Zeitschrift Vol. 300; no. 4; pp. 3497 - 3526 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0025-5874 1432-1823 |
DOI: | 10.1007/s00209-021-02966-6 |