arXiv subjects

Carlos Sancho de Salas

Publications and source records attributed to Carlos Sancho de Salas.

4 recordsLinked to original sources

arXiv2008

Principal bundles, quasi-abelian varieties and structure of algebraic groups

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 field k (i.e., group k-schemes with no non constant global functions). The interest of this result is given by the fact that the classification of smooth group k-schemes is reduced to the classification of quasi-abelian varieties and of certain affine group schemes.

math.AG↗

arXiv2008

The linear dual of the derived category of a scheme

This paper has been withdrawn because Proposition 2.2 (c) is false.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.

math.AG↗

arXiv2007

Characterization of quasi-coherent modules that are module schemes

The R-module functors that are essential for the development of the theory of the linear representations of an affine R-group are the quasi-coherent R-modules and the R-module schemes. The aim of this paper is to study when a quasi-coherent R-module is an R-module scheme. We will prove that it is equivalent to giving a characterization of projective R-modules of finite type.

math.AC↗

arXiv2007

Functorial Cartier duality

In this paper we obtain the Cartier duality for k-schemes of commutative monoids functorially without providing the vector spaces of functions with a topology, generalizing a result for finite commutative algebraic groups by M. Demazure and P. Gabriel.

math.AG↗