arXiv subjects

Benjamin Wieneck

Publications and source records attributed to Benjamin Wieneck.

2 recordsLinked to original sources

arXiv2016

Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations

In this paper a monodromy invariant for isotropic classes on generalized Kummer type manifolds is constructed. This invariant is used to determine the polarization type of Lagrangian fibrations on such manifolds - a notion which was introduced in an earlier paper of the author. The result shows that the polarization type of a Lagrangian fibration of generalized Kummer type depends on the connected component of the moduli space.

math.AG↗

arXiv2016

On polarization types of Lagrangian fibrations

The generic fiber of a Lagrangian fibration on an irreducible holomorphic symplectic manifold is an abelian variety. Associate a polarization type to such Lagrangian fibrations coming from polarizations on a generic fiber. We prove that this polarization type is constant in families of Lagrangian fibrations. Further, we determine the polarization type of K3^[n]-type fibrations and conjecture that the polarization type should only depend on the deformation type of the total space.

math.AG↗