| Résume | Abstract. We consider Lagrangian fibrations by abelian surfaces over the complex projective plane, with total space holomorphic symplectic manifolds and orbifolds. There are examples whose fibres are (1,d) polarized for d=1 to 4. We recall some classification results of Markushevich and Kamenova in the principally polarized case, and a new classification result in the (1,2) polarized case (joint work with Xuqiang Qin). We also describe restrictions on the polarization; indeed, `most' polarizations are not possible. |
