Birational geometry of singular Fano varieties
Aleksandr Pukhlikov
TL;DR
This paper establishes the divisorial canonicity of certain Fano hypersurfaces and double spaces with elementary singularities, advancing the understanding of their birational geometry.
Contribution
It proves divisorial canonicity for Fano hypersurfaces and double spaces with elementary singularities, a significant step in birational geometry of singular Fano varieties.
Findings
Divisorial canonicity proved for Fano hypersurfaces.
Divisorial canonicity established for double spaces with elementary singularities.
Results contribute to classification of singular Fano varieties.
Abstract
We prove divisorial canonicity of Fano hypersurfaces and double spaces of general position with elementary singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology