Some results on the eventual paracanonical maps
  The eventual paracanonical map was introduced by Barja, Pardini, and Stoppino in order to prove refined Severi-type inequalities. We study the general structures of the eventual paracanonical maps by generic vanishing theory. In particular, we obtain rather complete descriptions of the eventual paracanonical maps of surfaces and threefolds. 
Zhi Jiang
math.AG