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math.AG2020★ 8 cited
Stably semiorthogonally indecomposable varieties
Dmitrii Pirozhkov
A triangulated category is said to be indecomposable if it admits no nontrivial semiorthogonal decompositions. We introduce a definition of a noncommutatively stably semiorthogonal…
math.AG2020★ 1 cited
Admissible subcategories of del Pezzo surfaces
Dmitrii Pirozhkov
We study admissible subcategories of derived categories of coherent sheaves on del Pezzo surfaces and rational elliptic surfaces. Using a relation between admissible subcategories…