Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Martín, Francisco J. Plaza"'
Our goal is to give a purely algebraic characterization of finite abelian Galois covers of a complete, irreducible, non-singular curve $X$ over an algebraically closed field $\k$. To achieve this, we make use of the Galois theory of commutative rings
Externí odkaz:
http://arxiv.org/abs/2310.13443
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 the triviality of certain extension of groups, then TR is the same st
Externí odkaz:
http://arxiv.org/abs/1905.11774
Let $\operatorname{Witt}$ be the Lie algebra generated by the set $\{L_i\,\vert\, i \in {\mathbb Z}\}$ and $\operatorname{Vir}$ its universal central extension. Let $\operatorname{Diff}(V)$ be the Lie algebra of differential operators on $V=\mathbb{C
Externí odkaz:
http://arxiv.org/abs/1905.00463
We study simple non-weight ${\mathfrak{sl}}(2)$-modules which are finitely generated as ${\mathbb C}[z]$-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set o
Externí odkaz:
http://arxiv.org/abs/1602.00996
We investigate the structure of representations of the (positive half of the) Virasoro algebra and situations in which they decompose as a tensor product of Lie algebra representations. As an illustration, we apply these results to the differential o
Externí odkaz:
http://arxiv.org/abs/1602.00992
Autor:
Martin, Francisco J. Plaza
The construction of families of Sato Grassmannians, their determinant line bundles and the extensions induced by them are given. The base scheme is an arbitrary scheme.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/0810.0354
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 that there is a group of Virasoro type which uniformizes it.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/math/0502023
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 Grassmannian. As an application, we characterize the existence of certain lin
Externí odkaz:
http://arxiv.org/abs/math/0207091
Autor:
Martín, Francisco J. Plaza
Following the techniques of M. Sato (see \cite{Sa}), a generalization of the KP hierarchy for more than one variable is proposed. An approach to the classification of solutions and a method to construct algebraic solutions is also offered.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/math/0008004
Autor:
Martín, Francisco J. Plaza
This paper was withdrawn by the authors.
Comment: This paper has been withdrawn
Comment: This paper has been withdrawn
Externí odkaz:
http://arxiv.org/abs/math/9905026