On a conjecture of Kuznetsov and Polishchuk
Anton Fonarev
TL;DR
This paper proves a conjecture regarding the existence of specific full exceptional collections in the derived categories of coherent sheaves on Grassmannian varieties, advancing understanding in algebraic geometry.
Contribution
It establishes the existence of particular full exceptional collections in derived categories of Grassmannians, confirming a conjecture by Kuznetsov and Polishchuk.
Findings
Confirmed the conjecture on full exceptional collections
Constructed explicit examples of such collections
Enhanced understanding of derived categories in algebraic geometry
Abstract
We prove a conjecture by A. Kuznetsov and A. Polishchuk on the existence of some particular full exceptional collections in bounded derived categories of coherent sheaves on Grassmannian varieties.
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 Geometry and Number Theory · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications