25 citations · 39 across the 14 of their papers we have counts for
14 papers
Homotopy limits of complexes
Leovigildo Alonso, Raúl Alvite-Pazó, Ana Jeremías
We propose a notion of homotopy limit in the category of complexes over an abelian category with products by totalizing the classic construction of the Roos' complex that computes…
Colocalizing subcategories on differentially graded algebras
Leovigildo Alonso, Ana Jeremías, Eduardo Loureiro
Let be a bounded non positive commutative differential graded algebra . Let its derived category of DG-modules. If is generated by the DG-mod…
Localizing and colocalizing subcategories on schemes
Leovigildo Alonso, Ana Jeremías, Eduardo Loureiro
A full triangulated subcategory of triangulated category is localizing if it is stable for coproducts. If, further, is $\o…
On the decomposition of the De Rham complex on formal schemes
Leovigildo Alonso, Ana Jeremias, Marta Perez
We show that, for a pseudo-proper smooth noetherian formal scheme over a positive characteristic field, its truncated De Rham complex up to the characteristic $p…
On the derived category of quasi-coherent sheaves on an Adams geometric stack
Leovigildo Alonso, Ana Jeremias, Marta Perez +1
Let be an Adams geometric stack. We show that , its derived category of quasi-coherent sheaves, satisfies the axioms of a stable homotopy catego…
A functorial formalism for quasi-coherent sheaves on a geometric stack
Leovigildo Alonso, Ana Jeremias, Marta Perez +1
A geometric stack is a quasi-compact and semi-separated algebraic stack. We prove that the quasi-coherent sheaves on the small flat topology, Cartesian presheaves on the underlying…