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- Title
Trisecant flops, their associated K3 surfaces and the rationality of some cubic fourfolds.
- Authors
Russo, Francesco; Staglianò, Giovanni
- Abstract
We provide a new construction of rationality for cubic fourfolds via Mori's theory and the minimal model program. As an application we present the solution of the Kuznetsov conjecture for d D 42 (the first open case). Our methods also show an explicit connection between the rationality of cubic fourfolds belonging to the first four admissible families Cd with d D 14; 26; 38, and 42 and some birational models of K3 surfaces of degree d contained in well known rational Fano fourfolds.
- Subjects
LOGICAL prediction; MATHEMATICAL formulas; MATHEMATICAL models; MATHEMATICAL analysis; MATHEMATICAL programming
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2023, Vol 25, Issue 6, p2435
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/1248