P. Sancho

activity

20062021

most citedA remark on the invariant theory of real Lie groups

6 citations · 15 across the 16 of their papers we have counts for

collaborators

Showing math.AGShow all

8 papers · 1 filter

math.AG2021★ 1 cited

Notes on schematic finite spaces

Fernando Sancho, Pedro Sancho

The schematic finite spaces are those finite ringed spaces where a theory of quasi-coherent modules can be developed with minimal natural conditions. We give various characterizati…

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.AG2015

Reflexive functors in Algebraic Geometry

Pedro Sancho

Reflexive functors of modules naturally appear in Algebraic Geometry. In this paper we define a wide and elementary family of reflexive functors of modules, closed by tensor produc…

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.AG2007

A Direct Proof of the Theorem on Formal Functions

Fernado Sancho, Pedro Sancho

We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion.