Some results on the eventual paracanonical maps

TL;DR

This paper investigates the structure of eventual paracanonical maps on surfaces and threefolds using generic vanishing theory, providing detailed descriptions and advancing understanding of their geometric properties.

Contribution

It offers a comprehensive analysis of the structure of eventual paracanonical maps for surfaces and threefolds, expanding the theoretical framework.

Findings

Complete descriptions of the eventual paracanonical maps for surfaces.

Structural insights into threefolds' paracanonical maps.

Application of generic vanishing theory to these maps.

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.