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- Title
On the rationality of Fano–Enriques threefolds.
- Authors
Sarikyan, Arman
- Abstract
A Fano–Enrique's threefold is a 3-dimensional non-Goren stein Fano variety of index 1 with at most canonical singularities. We study the birational geometry of Fano– Enrique's threefold with terminal cyclic quotient singularities. We investigate their rationality and also provide an example of a Fano–Enrique's threefold whose pliability is 9, that is, a Fano–Enrique's threefold birationally equivalent to exactly nine Mori fibre spaces in the Sarkisov category.
- Subjects
THREEFOLDS (Algebraic geometry); ALGEBRAIC varieties; MATHEMATICAL singularities; CATEGORIES (Mathematics); GROUP theory
- Publication
Algebraic Geometry, 2023, Vol 10, Issue 6, p643
- ISSN
2313-1691
- Publication type
Article
- DOI
10.14231/ag-2023-023