Polynomial Lower Bounds for Anticanonical Volumes of Weak Fano Surfaces

Pinxian Bie

Source record

Source: arXiv

Published: Sep 6, 2026

arXiv: 2609.06845

Open original source ↗

Source abstract

We prove an explicit polynomial lower bound for the anticanonical volume of any complex $ε$ -log canonical weak del Pezzo surface. More precisely, there is an explicit constant $c>0$ such that $(-K_X)^2\geq cε^{84}$ for every such surface and every $0<ε\leq 1$ .

Evidence graph

No public relationships recorded yet.

Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.

Polynomial Lower Bounds for Anticanonical Volumes of Weak Fano Surfaces — Mathematical Frontier Network