24 citations · 30 across the 9 of their papers we have counts for
9 papers
Weil Reciprocity Law and the Theorem of Residues
José M. Muñoz Porras, Francisco J. Plaza Martín
This paper shows how the Theorem of Residues (TR) and the Gelfand-Fuchs cocycle can be deduced in a simple way from the Weil Reciprocity Law (WRL). Indeed, if one understand WRL as…
Convolutional Goppa codes defined on fibrations
J. I. Iglesias Curto, J. M. Muñoz Porras, F. J. Plaza Martín +1
We define a new class of Convolutional Codes in terms of fibrations of algebraic varieties generalizaing our previous constructions of Convolutional Goppa Codes. Using this general…
A proof of the Trisecant Identity through the Fourier-Mukai transform
Daniel Hernández Serrano, Francisco José Plaza Martín, José M. Muñoz Porras
Using the technique of the Fourier-Mukai transform we give an explicit set of generators of the ideal defining an algebraic curve as a subscheme of its Jacobian. Essentially, these…
Equations of the moduli of Higgs pairs and infinite Grassmannian
D. Hernandez-Serrano, J. M. Muñoz Porras, F. J. Plaza Martin
In this paper the moduli space of Higgs pairs over a fixed smooth projective curve with extra formal data is defined and it is endowed with a scheme structure. We introduce a relat…
Virasoro Groups and Hurwitz Schemes
José M. Muñoz Porras, Francisco J. Plaza Martín
In this paper we study the Hurwitz scheme in terms of the Sato Grassmannian and the algebro-geometric theory of solitons. We will give a characterization, its equations and a show…
Convolutional Goppa Codes
J. M. Muñoz Porras, J. A. Dominguez Perez, J. I. Iglesias Curto +1
We define Convolutional Goppa Codes over algebraic curves and construct their corresponding dual codes. Examples over the projective line and over elliptic curves are described, ob…