Araujo, Carolina and Beheshti, Roya and Castravet, Ana-Maria and Jabbusch, Kelly and Makarova, Svetlana and Mazzon, Enrica and Viswanathan, Nivedita and Reynolds, Will (2024) The minimal projective bundle dimension and toric 2-Fano manifolds. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 377 (10). pp. 7229-7258. ISSN 0002-9947, 1088-6850
Full text not available from this repository. (Request a copy)Abstract
Motivated by the problem of classifying toric 2-Fano manifolds, we introduce a new invariant for smooth projective toric varieties, the minimal projective bundle dimension. This invariant m ( X ) is an element of { 1 , ... , dim( X ) } captures the minimal degree of a dominating family of rational curves on X or, equivalently, the minimal length of a centered primitive relation for the fan of X . We classify smooth projective toric varieties with m ( X ) >= dim( X ) - 2, and show that projective spaces are the only 2-Fano manifolds among smooth projective toric varieties with m ( X ) is an element of { 1 , dim( X ) - 2 , dim( X ) - 1 , dim( X ) }.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RATIONAL CURVES; FANO; CLASSIFICATION; FAMILIES; VARIETIES |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Oct 2025 05:50 |
| Last Modified: | 30 Oct 2025 05:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65277 |
Actions (login required)
 |
View Item |
