Indecomposability of derived categories for arbitrary schemes

  1. López Martín, Ana Cristina 1
  2. Sancho de Salas, Fernando 1
  1. 1 Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, Spain
Zeitschrift:
Collectanea mathematica

ISSN: 0010-0757

Datum der Publikation: 2024

Ausgabe: 75

Faszikel: 3

Seiten: 639-658

Art: Artikel

DOI: 10.1007/S13348-023-00404-W DIALNET GOOGLE SCHOLAR

Andere Publikationen in: Collectanea mathematica

Zusammenfassung

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.

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