Dmitrii Pirozhkov

most citedStably semiorthogonally indecomposable varieties

8 citations · 8 across the 2 of their papers we have counts for

collaborators

4 papers

math.AG2026★ 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.AG2026

On the support of admissible subcategories

Dmitrii Pirozhkov

Let $X$ be a smooth proper variety over an algebraically closed field of characteristic zero, and let $A \subset D_{coh}^{b} (X)$ be an admissible subcategory. Le…

math.AG2025

Generators vs. classical generators in derived categories of curves

Dmitrii Pirozhkov

This is mostly an expository note about an example communicated to the author by Aise Johan de Jong. In a triangulated category $T$ an object $G$ is said to be a classical generato…

math.AG2025

Admissible subcategories supported on curves

Dmitrii Pirozhkov

Let $X$ be a smooth projective variety. We study admissible subcategories of the bounded derived category of coherent sheaves on $X$ whose support is a proper subvariety $Z \subset…