Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds
Yu-Wei Fan, Kuan-Wen Lai
TL;DR
This paper provides formulas to count the number of Fourier-Mukai partners associated with the K3 categories of very general special cubic fourfolds, advancing understanding of their derived equivalences.
Contribution
It introduces explicit counting formulas for Fourier-Mukai partners of K3 categories in the context of special cubic fourfolds, a novel contribution in algebraic geometry.
Findings
Derived equivalence counts for K3 categories are established.
Formulas depend on the properties of special cubic fourfolds.
Results enhance classification of cubic fourfolds via their K3 categories.
Abstract
We give counting formulas for the number of Fourier-Mukai partners of the K3 category of a very general special cubic fourfold.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory