On canonical Fano intrinsic quadrics
Christoff Hische
TL;DR
This paper classifies all three-dimensional, Picard number one, $Q$-factorial Fano intrinsic quadrics with at most canonical singularities, providing a comprehensive understanding of their structure and properties.
Contribution
It offers the first complete classification of these specific Fano intrinsic quadrics, filling a gap in algebraic geometry.
Findings
Complete classification of three-dimensional Fano intrinsic quadrics
Identification of singularity types as at most canonical
Structural insights into $Q$-factorial Fano varieties
Abstract
We classify all -factorial Fano intrinsic quadrics of dimension three and Picard number one having at most canonical singularities.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Meromorphic and Entire Functions