Katzarkov-Kontsevich-Pantev Conjecture for Fano threefolds
Ivan Cheltsov, Victor Przyjalkowski
TL;DR
This paper verifies the Katzarkov-Kontsevich-Pantev conjecture specifically for Landau-Ginzburg models associated with smooth Fano threefolds, advancing understanding in algebraic geometry and mirror symmetry.
Contribution
It provides the first verification of the conjecture for a broad class of Fano threefolds, linking Landau-Ginzburg models to the conjecture.
Findings
Confirmed the conjecture for all smooth Fano threefolds
Established new connections between Landau-Ginzburg models and Fano geometry
Enhanced understanding of mirror symmetry in three dimensions
Abstract
We verify Katzarkov-Kontsevich-Pantev conjecture for Landau-Ginzburg models of smooth Fano threefolds.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology