On canonical threefolds near the Noether line

TL;DR

This paper explores the properties of canonical threefolds with volumes near the minimal bound, contributing to the classification of algebraic threefolds in algebraic geometry.

Contribution

It provides new insights into the structure of canonical threefolds close to the Noether line, extending previous classification results.

Findings

Identification of canonical threefolds near the lower volume bound

Characterization of their geometric properties

Connections to existing classification theories

Abstract

This short note is the extended abstract of a seminar I have delivered on several occasions over the past few months on canonical threefolds whose canonical volume is "close" to the lower bound 4/3p_g - 10/3. This is a project in collaboration with S. Coughlan, Y. Hu, and T. Zhang.