In [TV], Bertrand To\" en and Michel Vaqui\'e define a scheme theory for a closed monoidal
category $(\mathcal {C},\otimes, 1) $. One of the key ingredients of this theory is the …

In [TV], Bertrand Toën and Michel Vaquié define a scheme theory for a closed monoidal
category (,⊗, 1) One of the key ingredients of this theory is the definition of a Zariski topology …

Let $ R $ be a commutative Noetherian ring such that $ X= Spec R $ is connected. We prove
that the category $ D^ b (coh X) $ contains no proper full triangulated subcategories which …

It is a classical insight that the Yoneda embedding defines an equivalence of schemes as
locally ringed spaces with schemes as sheaves on the big Zariski site. Similarly, the Yoneda …

In\cite {tva}, Bertrand Toen and Michel Vaquie defined a scheme theory for a closed
monoidal category $(C,\otimes, 1) $. In this article, we define a notion of smoothness in this …

Let $ R $ be a commutative Noetherian ring and let $\mathcal D (R) $ be its (unbounded)
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …

We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …

Let R be a commutative ring with unit. Given a R-algebra A with unit, a right A-module M
verifies in particular the axiom m. 1= m for each element m E M. When the algebra does not …

In this paper, we develop basic results of algebraic geometry over abelian symmetric
monoidal categories. Let A be a commutative monoid object in an abelian symmetric …

We propose a definition of when a triangulated category should be considered a complete
intersection. We show (using work of Avramov and Gulliksen) that for the derived category of …