We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Exceptional collections on toric Fano threefolds and birational geometry.
- Authors
Hokuto Uehara
- Abstract
Bondal's conjecture states that the Frobenius push-forward of the structure sheaf Ox generates the derived category Db(X) for smooth projective toric varieties X. Bernardi and Tirabassi exhibit a full strong exceptional collection consisting of line bundles on smooth toric Fano 3-folds assuming Bondal's conjecture. In this paper, we prove Bondal's conjecture for smooth toric Fano 3-folds and improve upon their result using birational geometry.
- Subjects
LOGICAL prediction; TORIC varieties; THREEFOLDS (Algebraic geometry); FROBENIUS algebras; GEOMETRY; MATHEMATICAL analysis
- Publication
International Journal of Mathematics, 2014, Vol 25, Issue 7, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X14500724