On maximally non-factorial nodal Fano threefolds
Ivan Cheltsov, Igor Krylov, Jesus Martinez-Garcia, Evgeny Shinder
TL;DR
This paper classifies a specific type of Fano threefolds that are non-factorial, have exactly one node, and a class group of rank two, advancing understanding of their structure.
Contribution
It provides the first classification of non-factorial nodal Fano threefolds with one node and rank 2 class group.
Findings
Complete classification of the specified Fano threefolds
Identification of structural properties of these threefolds
Clarification of their geometric and algebraic features
Abstract
We classify non-factorial nodal Fano threefolds with node and class group of rank .
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry