Título
Stability on the Sato Grassmannian. Applications to the moduli of vector bundles
Autor(es)
Palabras clave
Sato Grassmannian
Stability
Harder–Narasimhan filtration
Jordan–Hölder filtration
Moduli of vector bundles
Fecha de publicación
2008
Editor
ELSEVIER
Citación
.C. Casimiro, J.M. Muñoz Porras, F.J. Plaza Martín, Stability on the Sato Grassmannian. Applications to the moduli of vector bundles, Journal of Geometry and Physics, Volume 58, Issue 3, 2008, Pages 402-421, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2007.11.011. (https://www.sciencedirect.com/science/article/pii/S0393044007001520)
Resumen
[EN] The action of Sl(r,k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GIT and to those used in the
study of vector bundles, the (semi)stable points are introduced. It is shown that any point admits a Harder–Narasimhan filtration
and that, if it is semistable, it has a Jordan–H¨ older filtration. Finally, theses results are compared with the well-known theory of
vector bundles on an algebraic curve.
URI
ISSN
0393-0440
DOI
10.1016/j.geomphys.2007.11.011
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