Log Abundance for Kähler Threefolds
Log Abundance for Kähler Threefolds

Omprokash Das, University of California, LA
Fine Hall 322
In a series of papers by Campana, Höring and Peternell, the authors established the K_XMMP for terminal Kähler threefolds. They also proved the abundance conjecture in this settings. This is a remarkable achievement by the authors despite the fact that some of fundamental tools of MMP for algebraic varieties, such as, Mori’s Bend and Break, Base point free theorem etc. do not hold for Kähler manifolds. In this talk I will explain how to extend their K_Xabundance theorem to log canonical pairs (X, B), where X is a Kähler threefold and K_X+B is nef.