2 citations · 2 across the 8 of their papers we have counts for
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Differential Goppa Codes
David González González, Ángel Luis Muñoz Castañeda, Luis Manuel Navas Vicente
Rosenbloom and Tsfasman, in their foundational work on the -metric, introduced algebraic-geometric codes defined by multiple points on a smooth projective curve . This constr…
On the Goppa morphism
Ángel Luis Muñoz Castañeda
We develop a moduli-theoretic framework, over an arbitrary base field, for the classical Goppa construction of algebraic-geometric codes. We consider the moduli stack $\mathcal{LS}…
On the subalgebra of invariant elements: finiteness and immersions
Jesús Martín Ovejero, Ángel Luis Muñoz Castañeda, Francisco José Plaza Martín
Let be an algebra over a ring , an -algebra, a finitely generated projective -module, and a -module. Let be a linearly reductive group scheme ov…
Generalized parabolic structures over smooth curves with many components and principal bundles over reducible nodal curves
Ángel Luis Muñoz Castañeda
Let be smooth irreducible projective curves and let be its disjoint union. Given a semisimple reductive algebraic group and a faithful representation $ρ…
A compactification of the universal moduli space of principal G-bundles
Ángel Luis Muñoz Castañeda
We construct a compactification of the universal moduli space of semistable principal -bundles over , the fibers of which over singular curves are the…