Indecomposability of derived categories for arbitrary schemes

• López Martín, Ana Cristina ^[1] ; Sancho de Salas, Fernando ^[1]
  1. [1] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 3, 2024, págs. 639-658
• Idioma: inglés
• DOI: 10.1007/s13348-023-00404-w
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• Dialnet Métricas: 1 Cita
• Resumen

  • 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.