Degrees of non-Gorenstein canonical Fano threefolds with Picard number one

TL;DR

This paper establishes the maximum anticanonical degree for non-Gorenstein canonical Fano threefolds with Picard number one, providing a precise upper bound.

Contribution

It determines the exact upper bound of 200/3 for the anticanonical degrees of a specific class of Fano threefolds, advancing classification knowledge.

Findings

Maximum anticanonical degree is 200/3.

Identifies bounds for non-Gorenstein canonical Fano threefolds.

Contributes to classification theory of Fano varieties.

Abstract

We show that the optimal upper bound for the anticanonical degrees of non-Gorenstein $\mathbb{Q}$-factorial canonical Fano threefolds with Picard number one is 200/3.