Pullbacks of hyperplane sections for Lagrangian fibrations are primitive

  title={Pullbacks of hyperplane sections for Lagrangian fibrations are primitive},
  author={Ljudmila Kamenova and Misha Verbitsky},
  journal={Communications in Contemporary Mathematics},
Let [Formula: see text] be a Lagrangian fibration on a hyperkähler manifold of maximal holonomy (also known as IHS), and [Formula: see text] be the generator of the Picard group of [Formula: see text]. Assume that [Formula: see text] has no multiple fibers in codimension 1. We prove that [Formula: see text] is a primitive class on [Formula: see text]. 

Working and discussion seminar Problems and recent developments in hyperk geometry

  • Mathematics
  • 2019
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Preface 1. General Topology 2. Diferentiable Manifolds 3. 1= Fundamental Group 4. Homology Theory 5. Cohomology 6. Products and Duality 7. Homotopy Theory Appendices A-E Bibliography Index of Symbols