Anticanonical volume of Fano 4-folds
Caucher Birkar
TL;DR
This paper establishes an explicit upper bound for the anticanonical volume of Fano 4-folds with canonical singularities, contributing to the classification and understanding of their geometric properties.
Contribution
The authors derive a new explicit upper bound for the anticanonical volume of Fano 4-folds with canonical singularities, advancing the classification theory.
Findings
Established an explicit upper bound for the anticanonical volume.
Applied the bound specifically to Fano 4-folds with canonical singularities.
Enhanced understanding of the geometric constraints of Fano 4-folds.
Abstract
We find an explicit upper bound for the anticanonical volume of Fano 4-folds with canonical singularities.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory