Fano threefolds in positive characteristic III
Masaya Asai, Hiromu Tanaka
TL;DR
This paper classifies certain Fano threefolds with Picard number at least two in positive characteristic, focusing on primitive cases and those with Picard rank two, advancing understanding of their structure.
Contribution
It provides a classification of primitive Fano threefolds and Fano threefolds of Picard rank two in positive characteristic, a previously less understood area.
Findings
Classification of primitive Fano threefolds in positive characteristic.
Classification of Fano threefolds with Picard rank two in positive characteristic.
Enhanced understanding of the structure of Fano threefolds in positive characteristic.
Abstract
We classify primitive Fano threefolds in positive characteristic whose Picard numbers are at least two. We also classify Fano theefolds of Picard rank two.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology