Equidimensionality of complex Lagrangian fibrations

Abstract

We prove that every irreducible component of a fibre of a complex Lagrangian fibration is Lagrangian subvariety. Especially, complex Lagrangian fibations are equidimensional.

arXiv comment2 pages

References in corpus (1)

• Addendum to: On fibre space structures of a projective irreducible symplectic manifold

Cited by in corpus (2)

• The nilpotent cone in the Mukai system for rank 2 and genus 2
• The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces