Toric Sarkisov links of toric Fano varieties
Gavin Brown, Jaros{\l}aw Buczy\'nski, Alexander Kasprzyk
TL;DR
This paper explores the structure of Sarkisov links in the context of toric Fano varieties, providing a geometric framework that extends the classification of Fano weighted projective spaces in dimensions 3 and 4.
Contribution
It introduces a web of Sarkisov links that overlie the classification of Fano weighted projective spaces, extending previous results by Prokhorov.
Findings
Established a web of Sarkisov links for toric Fano varieties
Extended classification results to dimensions 3 and 4
Connected Sarkisov links with Fano weighted projective spaces
Abstract
We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.
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 · Geometry and complex manifolds · Advanced Algebra and Geometry