Let $X$ be a finite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t-structure if and only if $X$ is regular. In this version we prove an improvement of the conjecture.Comment: In this version we prove the weak approximability of D_{qc,Z}(X
Krause H. Completing perfect complexes With appendices by Tobias Barthel and Bernhard Keller. MATHEM...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are pr...
In a striking 2019 article, Antieau, Gepner and Heller found {\it K--}theoretic obstructions to boun...
Given a recollement of three proper dg algebras over a noetherian commutative ring, e.g. three algeb...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
AbstractThe main goal of this paper is to prove that the idempotent completions of triangulated cate...
Schlichting conjectured that the negative K-groups of small abelian categories vanish and proved thi...
We prove that given any strong, stable derivator and a $t$-structure on its base triangulated catego...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
AbstractWe construct an invariant of t-structures on the derived category of a commutative noetheria...
We prove the characteristic zero case of Zilber's Restricted Trichotomy Conjecture. That is, we show...
We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) ...
Abstract. We show, for a wide class of abelian categories relevant in representation theory and alge...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
Krause H. Completing perfect complexes With appendices by Tobias Barthel and Bernhard Keller. MATHEM...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are pr...
In a striking 2019 article, Antieau, Gepner and Heller found {\it K--}theoretic obstructions to boun...
Given a recollement of three proper dg algebras over a noetherian commutative ring, e.g. three algeb...
We show that the triangulated category of bounded constructible complexes on an algebraic variety X ...
AbstractThe main goal of this paper is to prove that the idempotent completions of triangulated cate...
Schlichting conjectured that the negative K-groups of small abelian categories vanish and proved thi...
We prove that given any strong, stable derivator and a $t$-structure on its base triangulated catego...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
AbstractWe construct an invariant of t-structures on the derived category of a commutative noetheria...
We prove the characteristic zero case of Zilber's Restricted Trichotomy Conjecture. That is, we show...
We show that the totally nonnegative part of a partial flag variety $G/P$ (in the sense of Lusztig) ...
Abstract. We show, for a wide class of abelian categories relevant in representation theory and alge...
Let X be a quasi-compact and quasi-separated scheme. There are two fundamental and pervasive facts a...
Krause H. Completing perfect complexes With appendices by Tobias Barthel and Bernhard Keller. MATHEM...
We develop a `universal' support theory for derived categories of constructible (analytic or \'etale...
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are pr...