C. Sancho

activity

20062018

most citedAutomorphism group of a toric variety

4 citations · 10 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.AG2018★ 4 cited

Automorphism group of a toric variety

M. T Sancho, J. P Moreno, Carlos Sancho

We calculate the automorphism group of a complete toric variety $X$ with torus $T_{M}$ . We prove that the radical unipotent of $A u t_{k}^{0} X$ is a semidirect product of additive groups,…

math.AG2016★ 2 cited

Geometric characterization of flat modules

Carlos Sancho, Fernando Sancho, Pedro Sancho

Let $R$ be a commutative ring. Roughly speaking, we prove that an $R$ -module $M$ is flat iff it is a direct limit of $R$ -module affine algebraic varieties, and $M$ is a flat Mittag…

math.AG2009

A Characterization of Linearly Semisimple Groups

Amelia Álvarez, Carlos Sancho, Pedro Sancho

Let $G = S p ec A$ be an affine $K$ -group scheme and $A ~ = {w \in A * : d i m_{K} A^{*} \cdot w \cdot A^{*} < \infty}$ . Let $< -,-> : A^* \times \tilde{A} \to K, (w,\tilde{w}) := tr(…

math.AG2009

Affine functors and duality

J. Navarro, C. Sancho, P. Sancho

A functor of sets $X$ over the category of $K$ -commutative algebras is said to be an affine functor if its functor of functions, $A_{X}$ , is reflexive and $…

math.AG2006

Invariant integral on classical groups and algebraic harmonic analysis

Amelia Alvarez, Carlos Sancho, Pedro Sancho

Let $G = Spec A$ be a linearly reductive group and let $w_{G} \in A^{*}$ be the invariant integral on $G$ . We establish the harmonic analysis on $G$ and we compute $w_{G}$ when $G=Sl_…

math.AG2006★ 2 cited

Reynolds Operator on functors

Amelia Alvarez, Carlos Sancho, Pedro Sancho

Let $G = Spec A$ be an affine $R$ -monoid scheme. We prove that the category of dual functors (over the category of commutative $R$ -algebras) of $G$ -modules is equivalent to th…