25 citations · 39 across the 14 of their papers we have counts for
9 papers · 1 filter
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…
Local structure theorems for smooth maps of formal schemes
Leovigildo Alonso, Ana Jeremias, Marta Perez
We continue our study on infinitesimal lifting properties of maps between locally noetherian formal schemes started in math.AG/0604241. In this paper, we focus on some properties w…
Infinitesimal lifting and Jacobi criterion for smoothness on formal schemes
Leovigildo Alonso, Ana Jeremias, Marta Perez
This a first step to develop a theory of smooth, etale and unramified morphisms between noetherian formal schemes. Our main tool is the complete module of differentials, that is a…
Infinitesimal local study of formal schemes
Leovigildo Alonso, Ana Jeremias, Marta Perez
We make a systematic study of the infinitesimal lifting conditions of a pseudo finite type map of noetherian formal schemes. We recover the usual general properties in this context…
Bousfield localization on formal schemes
Leovigildo Alonso, Ana Jeremias, Ma. -Jose Souto
Let (X, O_X) be a noetherian formal scheme and consider D_qct(X) its derived category of sheaves with quasi-coherent torsion homology. We show that there is a bijection between the…
Correction to the paper "Duality and Flat Base Change on Formal Schemes"
L. Alonso, A. Jeremias, J. Lipman
In section 8.3 of our paper "Duality and Flat Base Change on Formal Schemes" (http://arXiv.org/abs/alg-geom/9708006) some important results concerning localization of, and preserva…