Indecomposability of derived categories for arbitrary schemes.

Autor: López Martín, Ana Cristina, Sancho de Salas, Fernando
Zdroj: Collectanea Mathematica; Sep2024, Vol. 75 Issue 3, p639-658, 20p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index