2 citations · 3 across the 4 of their papers we have counts for
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Indecomposability of derived categories for arbitrary schemes
Ana Cristina López Martín, Fernando Sancho de Salas
We extend the criterion of Kawatani and Okawa for indecomposability of the derived category of a smooth projective variety to arbitrary schemes. For relative schemes, we also give…
Relative perfect complexes
Leovigildo Alonso, Ana Jeremias, Fernando Sancho
Let be a morphism of concentrated schemes. We characterize -perfect complexes as those such that the functor $\mathcal{E} \otimes^{\mathbf{L}}_X…
Universal ringed spaces
J. Sánchez González, F. Sancho de Salas
We construct affine spaces, projective spaces and grassmannians in the ca\-te\-gory of ringed spaces. We show how finite posets and sheaves of rings on them appear in a natural way…
Euler Sequence and Koszul complex of a module
Bjorn Andreas, Darío Sánchez Gómez, Fernando Sancho de Salas
We construct relative and global Euler sequences of a module. We apply it to prove some acyclicity results of the Koszul complex of a module and to compute the cohomology of the sh…