Indecomposability of derived categories for arbitrary schemes
- 1 Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, Spain
ISSN: 0010-0757
Année de publication: 2024
Volumen: 75
Fascículo: 3
Pages: 639-658
Type: Article
D'autres publications dans: Collectanea mathematica
Résumé
We extend the criterion of Kawatani and Okawa for indecomposability of the derived category of a smooth projective variety to arbitrary schemes. For relative schemes, we also give a criterion for the nonexistence of semiorthogonal decompositions that are linear over the base. These criteria are based on the base loci of the global or relative dualizing complexes.
Information sur le financement
Financeurs
-
Ministerio de Ciencia e Innovación
- PID2021-128665NB-I00
- ERDF