Some results on the eventual paracanonical maps

preprint2016arXivOpen access

Abstract

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.

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