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Principal bundles, quasi-abelian varieties and structure of algebraic groups
Carlos Sancho de Salas, Fernando Sancho de Salas
We classify principal bundles over anti-affine schemes with affine and commutative structural group. We show that this yields the classification of quasi-abelian varieties over a f…
The linear dual of the derived category of a scheme
Carlos Sancho de Salas, Fernando Sancho de Salas
This paper has been withdrawn because Proposition 2.2 (c) is false. This invalids the main results of section 2 and 3. We thank A. Canonaco for pointing us the error.
Relative Integral Functors for Singular Fibrations and Singular Partners
D. Hernández Ruipérez, A. C. López Martín, F. Sancho de Salas
We study relative integral functors for singular schemes and characterise those which preserve boundness and those which have integral right adjoints. We prove that a relative inte…
Fourier Mukai Transforms for Gorenstein Schemes
D. Hernandez Ruiperez, A. C. Lopez Martin, F. Sancho de Salas
We extend to singular schemes with Gorenstein singularities or fibered in schemes of that kind Bondal and Orlov's criterion for an integral functor to be fully faithful. We also co…