| Texto completo | |
| Autor(es): |
Fontes, Aislan Leal
;
Jardim, Marcos
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Geometriae Dedicata; v. 217, n. 2, p. 25-pg., 2023-04-01. |
| Resumo | |
We propose a three-step program for the classification of stable rank 2 bundles on the projective space P-3 inspired by an article by Hartshorne and Rao. While this classification program has been successfully completed for stable rank 2 bundles with even determinant and c(2) <= 5, much less is known for bundles with odd determinant. After revising the known facts about these objects, we list all possible spectra and minimal monads for stable rank 2 bundles with odd determinant and c(2) <= 8. We provide a full classification of all bundles with positive minimal monads, provide a negative answer to a question raised by Hartshorne and Rao, and describe new irreducible components of the moduli spaces of stable rank 2 bundles with odd determinant and c(2) = 6, 8. (AU) | |
| Processo FAPESP: | 18/21391-1 - Teoria de calibre e geometria algébrica |
| Beneficiário: | Marcos Benevenuto Jardim |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |