Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations
Algebraic Geometry
2018-05-22 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1606.09010,
title = {Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations},
author = {Benjamin Wieneck},
journal= {arXiv preprint arXiv:1606.09010},
year = {2018}
}
Comments
This is the final version of the paper. Some improvements, thanks to the referee. The paper was published in Mathematische Zeitschrift. Please note that my Leibniz Universit\"at email address (@math.uni-hannover.de) does not work anymore, Math. Z. (2018)