On Compact Analytic Threefolds with Non-Trivial Albanese Tori.
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .
The aim of this paper is to extend the results of [BB-Ś2] concerning geometric quotients of actions of SL(2) to the case of good quotients. Thus the results of the present paper can be applied to any action of SL(2) on a complete smooth algebraic variety, while the theorems proved in [BB-Ś2] concerned only special situations.
Let be the Jacobian variety of the Drinfeld modular curve over , where is an ideal in . Let be an exact sequence of abelian varieties. Assume , as a subvariety of , is stable under the action of the Hecke algebra End . We give a criterion which is sufficient for the exactness of the induced sequence of component groups of the Néron models of these abelian varieties over . This criterion is always satisfied when either or is one-dimensional. Moreover, we prove that the sequence...