2023/01/17 by Martín, Ana Cristina López, de Salas, Fernando Sancho
#14F05 #14H52 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary: 18E30 #Secondary: 18E25
paper · doi:10.48550/arxiv.2301.06818
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.