7 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
Basic deformation theory of smooth formal schemes
Marta Perez
We provide the main results of a deformation theory of smooth formal schemes. First we deal with the case of global lifting of smooth morphisms. We prove that the obstruction to th…
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…