29 citations · 47 across the 12 of their papers we have counts for
12 papers
Kummer theory over the geometric adeles of an algebraic curve
Luis Manuel Navas Vicente, Francisco J. Plaza Martín, Álvaro Serrano Holgado
Our goal is to give a purely algebraic characterization of finite abelian Galois covers of a complete, irreducible, non-singular curve over an algebraically closed field $\k$.…
Lie subalgebras of Differential Operators in one Variable
Francisco J. Plaza Martin, Carlos Tejero Prieto
Let be the Lie algebra generated by the set and its universal central extension. Let $\operatorname{…
Construction of simple non-weight sl(2)-modules of arbitrary rank
Francisco J. Plaza Martín, Carlos Tejero Prieto
We study simple non-weight -modules which are finitely generated as -modules. We show that they are described in terms of semilinear endomorphis…
Extending Representations of sl(2) to Witt and Virasoro algebras
F. J. Plaza Martin, C. Tejero Prieto
We study when an sl(2)-representation extends to a representation of the Witt and Virasoro algebras. We give a criterion for extendability and apply it to certain classes of weight…
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…
Uniformization of the Moduli Space of Pairs Consisting of a Curve and a Vector Bundle
E. Gómez González, D. Hernández Serrano, J. M. Muñoz Porras +1
This paper is devoted to the study of the uniformization of the moduli space of pairs (X, E) consisting of an algebraic curve and a vector bundle on it. For this goal, we study the…
Prym varieties, curves with automorphisms and the Sato Grassmannian
E. Gómez González, J. M. Muñoz Porras, F. J. Plaza Martín
The aim of the paper is twofold. First, some results of Shiota and Plaza-Martin on Prym varieties of curves with an involution are generalized to the general case of an arbitrary a…
Equations of Hurwitz Schemes in the Infinite Grassmannian
José M. Muñoz Porras, Francisco J. Plaza Martín
The main result proved in the paper is the computation of the explicit equations defining the Hurwitz schemes of coverings with punctures as subschemes of the Sato infinite Grassma…
Algebraic Solutions of the Multicomponent KP Hierarchy
F. J. Plaza Martín
It is shown that it is possible to write down tau functions for the -component KP hierarchy in terms of non-abelian theta functions. This is a generalization of the rank 1 situa…
Equations of the moduli of pointed curves in the infinite Grassmannian
J. M. Muñoz Porras, F. J. Plaza Martín
The main result of this paper is the explicit computation of the equations defining the moduli space of triples (where is an integral and complete algebraic curve, $p…
Prym varieties and the infinite Grassmannian
Francisco J. Plaza Martín
In this paper we study Prym varieties and their moduli space using the well known techniques of the infinite Grassmannian. There are three main results of this paper: a new definit…
The algebraic formalism of soliton equations over arbitrary base fields
A. Álvarez Vázquez, J. M. Muñoz Porras, F. J. Plaza Martín
The aim of this paper is to offer an algebraic construction of infinite-dimensional Grassmannians and determinant bundles (and therefore valid for arbitrary base fields). As an app…